Finding the Third Proportional to 59,596 and 83,356

Step by Step Solution

1. Step 1: Write the proportion equation
   59,596 : 83,356 = 83,356 : x
2. Step 2: Convert to fraction form
   59,596/83,356 = 83,356/x
3. Step 3: Cross multiply
   59,596x = 83,356 × 83,356
4. Step 4: Simplify right side
   59,596x = 6,948,222,736
5. Step 5: Solve for x
   x = 6,948,222,736/59,596
6. Step 6: Final answer
   x = 116,588.74