Finding the Third Proportional to 78,393 and 172,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,393 : 172,393.50 = 172,393.50 : x
2. Step 2: Convert to fraction form
   78,393/172,393.50 = 172,393.50/x
3. Step 3: Cross multiply
   78,393x = 172,393.50 × 172,393.50
4. Step 4: Simplify right side
   78,393x = 29,719,518,842.25
5. Step 5: Solve for x
   x = 29,719,518,842.25/78,393
6. Step 6: Final answer
   x = 379,109.34