Finding the Third Proportional to 172,151 and 265,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,151 : 265,909.50 = 265,909.50 : x
2. Step 2: Convert to fraction form
   172,151/265,909.50 = 265,909.50/x
3. Step 3: Cross multiply
   172,151x = 265,909.50 × 265,909.50
4. Step 4: Simplify right side
   172,151x = 70,707,862,190.25
5. Step 5: Solve for x
   x = 70,707,862,190.25/172,151
6. Step 6: Final answer
   x = 410,731.64