Finding the Third Proportional to 172,152 and 377,532

Step by Step Solution

1. Step 1: Write the proportion equation
   172,152 : 377,532 = 377,532 : x
2. Step 2: Convert to fraction form
   172,152/377,532 = 377,532/x
3. Step 3: Cross multiply
   172,152x = 377,532 × 377,532
4. Step 4: Simplify right side
   172,152x = 142,530,411,024
5. Step 5: Solve for x
   x = 142,530,411,024/172,152
6. Step 6: Final answer
   x = 827,933.52