Finding the Third Proportional to 36,234.50 and 78,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,234.50 : 78,498.50 = 78,498.50 : x
2. Step 2: Convert to fraction form
   36,234.50/78,498.50 = 78,498.50/x
3. Step 3: Cross multiply
   36,234.50x = 78,498.50 × 78,498.50
4. Step 4: Simplify right side
   36,234.50x = 6,162,014,502.25
5. Step 5: Solve for x
   x = 6,162,014,502.25/36,234.50
6. Step 6: Final answer
   x = 170,059.32