Finding the Third Proportional to 59,182 and 83,244

Step by Step Solution

1. Step 1: Write the proportion equation
   59,182 : 83,244 = 83,244 : x
2. Step 2: Convert to fraction form
   59,182/83,244 = 83,244/x
3. Step 3: Cross multiply
   59,182x = 83,244 × 83,244
4. Step 4: Simplify right side
   59,182x = 6,929,563,536
5. Step 5: Solve for x
   x = 6,929,563,536/59,182
6. Step 6: Final answer
   x = 117,089.04