Finding the Third Proportional to 59,200 and 83,277

Step by Step Solution

1. Step 1: Write the proportion equation
   59,200 : 83,277 = 83,277 : x
2. Step 2: Convert to fraction form
   59,200/83,277 = 83,277/x
3. Step 3: Cross multiply
   59,200x = 83,277 × 83,277
4. Step 4: Simplify right side
   59,200x = 6,935,058,729
5. Step 5: Solve for x
   x = 6,935,058,729/59,200
6. Step 6: Final answer
   x = 117,146.26