Finding the Third Proportional to 81,777.50 and 176,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,777.50 : 176,082.50 = 176,082.50 : x
2. Step 2: Convert to fraction form
   81,777.50/176,082.50 = 176,082.50/x
3. Step 3: Cross multiply
   81,777.50x = 176,082.50 × 176,082.50
4. Step 4: Simplify right side
   81,777.50x = 31,005,046,806.25
5. Step 5: Solve for x
   x = 31,005,046,806.25/81,777.50
6. Step 6: Final answer
   x = 379,139.09