Finding the Third Proportional to 80,676 and 116,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,676 : 116,032.50 = 116,032.50 : x
2. Step 2: Convert to fraction form
   80,676/116,032.50 = 116,032.50/x
3. Step 3: Cross multiply
   80,676x = 116,032.50 × 116,032.50
4. Step 4: Simplify right side
   80,676x = 13,463,541,056.25
5. Step 5: Solve for x
   x = 13,463,541,056.25/80,676
6. Step 6: Final answer
   x = 166,884.09