Finding the Third Proportional to 105,192 and 230,784

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 230,784 = 230,784 : x
2. Step 2: Convert to fraction form
   105,192/230,784 = 230,784/x
3. Step 3: Cross multiply
   105,192x = 230,784 × 230,784
4. Step 4: Simplify right side
   105,192x = 53,261,254,656
5. Step 5: Solve for x
   x = 53,261,254,656/105,192
6. Step 6: Final answer
   x = 506,324.19