Finding the Third Proportional to 172,221 and 271,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,221 : 271,534.50 = 271,534.50 : x
2. Step 2: Convert to fraction form
   172,221/271,534.50 = 271,534.50/x
3. Step 3: Cross multiply
   172,221x = 271,534.50 × 271,534.50
4. Step 4: Simplify right side
   172,221x = 73,730,984,690.25
5. Step 5: Solve for x
   x = 73,730,984,690.25/172,221
6. Step 6: Final answer
   x = 428,118.43