Finding the Third Proportional to 36,334.50 and 78,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,334.50 : 78,508.50 = 78,508.50 : x
2. Step 2: Convert to fraction form
   36,334.50/78,508.50 = 78,508.50/x
3. Step 3: Cross multiply
   36,334.50x = 78,508.50 × 78,508.50
4. Step 4: Simplify right side
   36,334.50x = 6,163,584,572.25
5. Step 5: Solve for x
   x = 6,163,584,572.25/36,334.50
6. Step 6: Final answer
   x = 169,634.50