Finding the Third Proportional to 172,524 and 377,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,524 : 377,032.50 = 377,032.50 : x
2. Step 2: Convert to fraction form
   172,524/377,032.50 = 377,032.50/x
3. Step 3: Cross multiply
   172,524x = 377,032.50 × 377,032.50
4. Step 4: Simplify right side
   172,524x = 142,153,506,056.25
5. Step 5: Solve for x
   x = 142,153,506,056.25/172,524
6. Step 6: Final answer
   x = 823,963.66