Finding the Third Proportional to 78,384.38 and 172,375.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384.38 : 172,375.88 = 172,375.88 : x
2. Step 2: Convert to fraction form
   78,384.38/172,375.88 = 172,375.88/x
3. Step 3: Cross multiply
   78,384.38x = 172,375.88 × 172,375.88
4. Step 4: Simplify right side
   78,384.38x = 29,713,442,282.02
5. Step 5: Solve for x
   x = 29,713,442,282.02/78,384.38
6. Step 6: Final answer
   x = 379,073.54