Finding the Third Proportional to 476,123,567,216 and 1,027,988,046,784

Step by Step Solution

1. Step 1: Write the proportion equation
   476,123,567,216 : 1,027,988,046,784 = 1,027,988,046,784 : x
2. Step 2: Convert to fraction form
   476,123,567,216/1,027,988,046,784 = 1,027,988,046,784/x
3. Step 3: Cross multiply
   476,123,567,216x = 1,027,988,046,784 × 1,027,988,046,784
4. Step 4: Simplify right side
   476,123,567,216x = 1,056,759,424,330,783,378,112,512
5. Step 5: Solve for x
   x = 1,056,759,424,330,783,378,112,512/476,123,567,216
6. Step 6: Final answer
   x = 2,219,506,651,413.81