Finding the Third Proportional to 69,776,486,288 and 152,181,782,256

Step by Step Solution

1. Step 1: Write the proportion equation
   69,776,486,288 : 152,181,782,256 = 152,181,782,256 : x
2. Step 2: Convert to fraction form
   69,776,486,288/152,181,782,256 = 152,181,782,256/x
3. Step 3: Cross multiply
   69,776,486,288x = 152,181,782,256 × 152,181,782,256
4. Step 4: Simplify right side
   69,776,486,288x = 23,159,294,850,612,594,737,152
5. Step 5: Solve for x
   x = 23,159,294,850,612,594,737,152/69,776,486,288
6. Step 6: Final answer
   x = 331,906,865,516.61