Finding the Third Proportional to 59,733 and 130,158

Step by Step Solution

1. Step 1: Write the proportion equation
   59,733 : 130,158 = 130,158 : x
2. Step 2: Convert to fraction form
   59,733/130,158 = 130,158/x
3. Step 3: Cross multiply
   59,733x = 130,158 × 130,158
4. Step 4: Simplify right side
   59,733x = 16,941,104,964
5. Step 5: Solve for x
   x = 16,941,104,964/59,733
6. Step 6: Final answer
   x = 283,613.83