Finding the Third Proportional to 172,144 and 377,468

Step by Step Solution

1. Step 1: Write the proportion equation
   172,144 : 377,468 = 377,468 : x
2. Step 2: Convert to fraction form
   172,144/377,468 = 377,468/x
3. Step 3: Cross multiply
   172,144x = 377,468 × 377,468
4. Step 4: Simplify right side
   172,144x = 142,482,091,024
5. Step 5: Solve for x
   x = 142,482,091,024/172,144
6. Step 6: Final answer
   x = 827,691.30