Finding the Third Proportional to 59,181 and 83,243

Step by Step Solution

1. Step 1: Write the proportion equation
   59,181 : 83,243 = 83,243 : x
2. Step 2: Convert to fraction form
   59,181/83,243 = 83,243/x
3. Step 3: Cross multiply
   59,181x = 83,243 × 83,243
4. Step 4: Simplify right side
   59,181x = 6,929,397,049
5. Step 5: Solve for x
   x = 6,929,397,049/59,181
6. Step 6: Final answer
   x = 117,088.20