Finding the Third Proportional to 59,098 and 89,740

Step by Step Solution

1. Step 1: Write the proportion equation
   59,098 : 89,740 = 89,740 : x
2. Step 2: Convert to fraction form
   59,098/89,740 = 89,740/x
3. Step 3: Cross multiply
   59,098x = 89,740 × 89,740
4. Step 4: Simplify right side
   59,098x = 8,053,267,600
5. Step 5: Solve for x
   x = 8,053,267,600/59,098
6. Step 6: Final answer
   x = 136,269.71