Finding the Third Proportional to 172,443 and 266,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,443 : 266,047.50 = 266,047.50 : x
2. Step 2: Convert to fraction form
   172,443/266,047.50 = 266,047.50/x
3. Step 3: Cross multiply
   172,443x = 266,047.50 × 266,047.50
4. Step 4: Simplify right side
   172,443x = 70,781,272,256.25
5. Step 5: Solve for x
   x = 70,781,272,256.25/172,443
6. Step 6: Final answer
   x = 410,461.85