Finding the Third Proportional to 36,315 and 78,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,315 : 78,367.50 = 78,367.50 : x
2. Step 2: Convert to fraction form
   36,315/78,367.50 = 78,367.50/x
3. Step 3: Cross multiply
   36,315x = 78,367.50 × 78,367.50
4. Step 4: Simplify right side
   36,315x = 6,141,465,056.25
5. Step 5: Solve for x
   x = 6,141,465,056.25/36,315
6. Step 6: Final answer
   x = 169,116.48