Finding the Third Proportional to 182,155.50 and 271,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,155.50 : 271,363.50 = 271,363.50 : x
2. Step 2: Convert to fraction form
   182,155.50/271,363.50 = 271,363.50/x
3. Step 3: Cross multiply
   182,155.50x = 271,363.50 × 271,363.50
4. Step 4: Simplify right side
   182,155.50x = 73,638,149,132.25
5. Step 5: Solve for x
   x = 73,638,149,132.25/182,155.50
6. Step 6: Final answer
   x = 404,259.82