Finding the Third Proportional to 81,740 and 109,845

Step by Step Solution

1. Step 1: Write the proportion equation
   81,740 : 109,845 = 109,845 : x
2. Step 2: Convert to fraction form
   81,740/109,845 = 109,845/x
3. Step 3: Cross multiply
   81,740x = 109,845 × 109,845
4. Step 4: Simplify right side
   81,740x = 12,065,924,025
5. Step 5: Solve for x
   x = 12,065,924,025/81,740
6. Step 6: Final answer
   x = 147,613.46