Finding the Third Proportional to 81,765 and 123,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,765 : 123,052.50 = 123,052.50 : x
2. Step 2: Convert to fraction form
   81,765/123,052.50 = 123,052.50/x
3. Step 3: Cross multiply
   81,765x = 123,052.50 × 123,052.50
4. Step 4: Simplify right side
   81,765x = 15,141,917,756.25
5. Step 5: Solve for x
   x = 15,141,917,756.25/81,765
6. Step 6: Final answer
   x = 185,188.26