Finding the Third Proportional to 69,147.75 and 106,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,147.75 : 106,792.50 = 106,792.50 : x
2. Step 2: Convert to fraction form
   69,147.75/106,792.50 = 106,792.50/x
3. Step 3: Cross multiply
   69,147.75x = 106,792.50 × 106,792.50
4. Step 4: Simplify right side
   69,147.75x = 11,404,638,056.25
5. Step 5: Solve for x
   x = 11,404,638,056.25/69,147.75
6. Step 6: Final answer
   x = 164,931.44