Finding the Third Proportional to 81,756 and 115,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,756 : 115,693.50 = 115,693.50 : x
2. Step 2: Convert to fraction form
   81,756/115,693.50 = 115,693.50/x
3. Step 3: Cross multiply
   81,756x = 115,693.50 × 115,693.50
4. Step 4: Simplify right side
   81,756x = 13,384,985,942.25
5. Step 5: Solve for x
   x = 13,384,985,942.25/81,756
6. Step 6: Final answer
   x = 163,718.70