Finding the Third Proportional to 205,123.50 and 310,419

Step by Step Solution

1. Step 1: Write the proportion equation
   205,123.50 : 310,419 = 310,419 : x
2. Step 2: Convert to fraction form
   205,123.50/310,419 = 310,419/x
3. Step 3: Cross multiply
   205,123.50x = 310,419 × 310,419
4. Step 4: Simplify right side
   205,123.50x = 96,359,955,561
5. Step 5: Solve for x
   x = 96,359,955,561/205,123.50
6. Step 6: Final answer
   x = 469,765.56