Finding the Third Proportional to 78,892 and 171,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,892 : 171,159.50 = 171,159.50 : x
2. Step 2: Convert to fraction form
   78,892/171,159.50 = 171,159.50/x
3. Step 3: Cross multiply
   78,892x = 171,159.50 × 171,159.50
4. Step 4: Simplify right side
   78,892x = 29,295,574,440.25
5. Step 5: Solve for x
   x = 29,295,574,440.25/78,892
6. Step 6: Final answer
   x = 371,337.71