Finding the Third Proportional to 59,808 and 99,200

Step by Step Solution

1. Step 1: Write the proportion equation
   59,808 : 99,200 = 99,200 : x
2. Step 2: Convert to fraction form
   59,808/99,200 = 99,200/x
3. Step 3: Cross multiply
   59,808x = 99,200 × 99,200
4. Step 4: Simplify right side
   59,808x = 9,840,640,000
5. Step 5: Solve for x
   x = 9,840,640,000/59,808
6. Step 6: Final answer
   x = 164,537.19