Finding the Third Proportional to 68,526 and 78,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,526 : 78,367.50 = 78,367.50 : x
2. Step 2: Convert to fraction form
   68,526/78,367.50 = 78,367.50/x
3. Step 3: Cross multiply
   68,526x = 78,367.50 × 78,367.50
4. Step 4: Simplify right side
   68,526x = 6,141,465,056.25
5. Step 5: Solve for x
   x = 6,141,465,056.25/68,526
6. Step 6: Final answer
   x = 89,622.41