Finding the Third Proportional to 172,557 and 265,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,557 : 265,126.50 = 265,126.50 : x
2. Step 2: Convert to fraction form
   172,557/265,126.50 = 265,126.50/x
3. Step 3: Cross multiply
   172,557x = 265,126.50 × 265,126.50
4. Step 4: Simplify right side
   172,557x = 70,292,061,002.25
5. Step 5: Solve for x
   x = 70,292,061,002.25/172,557
6. Step 6: Final answer
   x = 407,355.60