Finding the Third Proportional to 59,598 and 124,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,598 : 124,096.50 = 124,096.50 : x
2. Step 2: Convert to fraction form
   59,598/124,096.50 = 124,096.50/x
3. Step 3: Cross multiply
   59,598x = 124,096.50 × 124,096.50
4. Step 4: Simplify right side
   59,598x = 15,399,941,312.25
5. Step 5: Solve for x
   x = 15,399,941,312.25/59,598
6. Step 6: Final answer
   x = 258,396.95