Finding the Third Proportional to 81,406 and 116,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,406 : 116,884.50 = 116,884.50 : x
2. Step 2: Convert to fraction form
   81,406/116,884.50 = 116,884.50/x
3. Step 3: Cross multiply
   81,406x = 116,884.50 × 116,884.50
4. Step 4: Simplify right side
   81,406x = 13,661,986,340.25
5. Step 5: Solve for x
   x = 13,661,986,340.25/81,406
6. Step 6: Final answer
   x = 167,825.30