Finding the Third Proportional to 81,772.50 and 123,063.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,772.50 : 123,063.75 = 123,063.75 : x
2. Step 2: Convert to fraction form
   81,772.50/123,063.75 = 123,063.75/x
3. Step 3: Cross multiply
   81,772.50x = 123,063.75 × 123,063.75
4. Step 4: Simplify right side
   81,772.50x = 15,144,686,564.06
5. Step 5: Solve for x
   x = 15,144,686,564.06/81,772.50
6. Step 6: Final answer
   x = 185,205.13