Finding the Third Proportional to 36,234 and 78,499

Step by Step Solution

1. Step 1: Write the proportion equation
   36,234 : 78,499 = 78,499 : x
2. Step 2: Convert to fraction form
   36,234/78,499 = 78,499/x
3. Step 3: Cross multiply
   36,234x = 78,499 × 78,499
4. Step 4: Simplify right side
   36,234x = 6,162,093,001
5. Step 5: Solve for x
   x = 6,162,093,001/36,234
6. Step 6: Final answer
   x = 170,063.84