Finding the Third Proportional to 69,147 and 106,792.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,147 : 106,792.25 = 106,792.25 : x
2. Step 2: Convert to fraction form
   69,147/106,792.25 = 106,792.25/x
3. Step 3: Cross multiply
   69,147x = 106,792.25 × 106,792.25
4. Step 4: Simplify right side
   69,147x = 11,404,584,660.06
5. Step 5: Solve for x
   x = 11,404,584,660.06/69,147
6. Step 6: Final answer
   x = 164,932.46