Finding the Third Proportional to 78,824.63 and 172,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   78,824.63 : 172,978.13 = 172,978.13 : x
2. Step 2: Convert to fraction form
   78,824.63/172,978.13 = 172,978.13/x
3. Step 3: Cross multiply
   78,824.63x = 172,978.13 × 172,978.13
4. Step 4: Simplify right side
   78,824.63x = 29,921,431,728.52
5. Step 5: Solve for x
   x = 29,921,431,728.52/78,824.63
6. Step 6: Final answer
   x = 379,594.98