Finding the Third Proportional to 172,500 and 377,064

Step by Step Solution

1. Step 1: Write the proportion equation
   172,500 : 377,064 = 377,064 : x
2. Step 2: Convert to fraction form
   172,500/377,064 = 377,064/x
3. Step 3: Cross multiply
   172,500x = 377,064 × 377,064
4. Step 4: Simplify right side
   172,500x = 142,177,260,096
5. Step 5: Solve for x
   x = 142,177,260,096/172,500
6. Step 6: Final answer
   x = 824,216.00