Finding the Third Proportional to 82,719.75 and 123,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,719.75 : 123,748.50 = 123,748.50 : x
2. Step 2: Convert to fraction form
   82,719.75/123,748.50 = 123,748.50/x
3. Step 3: Cross multiply
   82,719.75x = 123,748.50 × 123,748.50
4. Step 4: Simplify right side
   82,719.75x = 15,313,691,252.25
5. Step 5: Solve for x
   x = 15,313,691,252.25/82,719.75
6. Step 6: Final answer
   x = 185,127.39