Finding the Third Proportional to 85,792.50 and 123,765.75

Step by Step Solution

1. Step 1: Write the proportion equation
   85,792.50 : 123,765.75 = 123,765.75 : x
2. Step 2: Convert to fraction form
   85,792.50/123,765.75 = 123,765.75/x
3. Step 3: Cross multiply
   85,792.50x = 123,765.75 × 123,765.75
4. Step 4: Simplify right side
   85,792.50x = 15,317,960,873.06
5. Step 5: Solve for x
   x = 15,317,960,873.06/85,792.50
6. Step 6: Final answer
   x = 178,546.62