Finding the Third Proportional to 172,314 and 365,468

Step by Step Solution

1. Step 1: Write the proportion equation
   172,314 : 365,468 = 365,468 : x
2. Step 2: Convert to fraction form
   172,314/365,468 = 365,468/x
3. Step 3: Cross multiply
   172,314x = 365,468 × 365,468
4. Step 4: Simplify right side
   172,314x = 133,566,859,024
5. Step 5: Solve for x
   x = 133,566,859,024/172,314
6. Step 6: Final answer
   x = 775,136.43