Finding the Third Proportional to 59,190 and 83,262

Step by Step Solution

1. Step 1: Write the proportion equation
   59,190 : 83,262 = 83,262 : x
2. Step 2: Convert to fraction form
   59,190/83,262 = 83,262/x
3. Step 3: Cross multiply
   59,190x = 83,262 × 83,262
4. Step 4: Simplify right side
   59,190x = 6,932,560,644
5. Step 5: Solve for x
   x = 6,932,560,644/59,190
6. Step 6: Final answer
   x = 117,123.85