Finding the Third Proportional to 80,469 and 117,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,469 : 117,967.50 = 117,967.50 : x
2. Step 2: Convert to fraction form
   80,469/117,967.50 = 117,967.50/x
3. Step 3: Cross multiply
   80,469x = 117,967.50 × 117,967.50
4. Step 4: Simplify right side
   80,469x = 13,916,331,056.25
5. Step 5: Solve for x
   x = 13,916,331,056.25/80,469
6. Step 6: Final answer
   x = 172,940.28