Finding the Third Proportional to 78,387.50 and 172,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,387.50 : 172,381.50 = 172,381.50 : x
2. Step 2: Convert to fraction form
   78,387.50/172,381.50 = 172,381.50/x
3. Step 3: Cross multiply
   78,387.50x = 172,381.50 × 172,381.50
4. Step 4: Simplify right side
   78,387.50x = 29,715,381,542.25
5. Step 5: Solve for x
   x = 29,715,381,542.25/78,387.50
6. Step 6: Final answer
   x = 379,083.16