Finding the Third Proportional to 36,218.50 and 78,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,218.50 : 78,465.50 = 78,465.50 : x
2. Step 2: Convert to fraction form
   36,218.50/78,465.50 = 78,465.50/x
3. Step 3: Cross multiply
   36,218.50x = 78,465.50 × 78,465.50
4. Step 4: Simplify right side
   36,218.50x = 6,156,834,690.25
5. Step 5: Solve for x
   x = 6,156,834,690.25/36,218.50
6. Step 6: Final answer
   x = 169,991.43