Finding the Third Proportional to 271,303.50 and 371,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,303.50 : 371,773.50 = 371,773.50 : x
2. Step 2: Convert to fraction form
   271,303.50/371,773.50 = 371,773.50/x
3. Step 3: Cross multiply
   271,303.50x = 371,773.50 × 371,773.50
4. Step 4: Simplify right side
   271,303.50x = 138,215,535,302.25
5. Step 5: Solve for x
   x = 138,215,535,302.25/271,303.50
6. Step 6: Final answer
   x = 509,449.88