Finding the Third Proportional to 59,096 and 123,178

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 123,178 = 123,178 : x
2. Step 2: Convert to fraction form
   59,096/123,178 = 123,178/x
3. Step 3: Cross multiply
   59,096x = 123,178 × 123,178
4. Step 4: Simplify right side
   59,096x = 15,172,819,684
5. Step 5: Solve for x
   x = 15,172,819,684/59,096
6. Step 6: Final answer
   x = 256,748.67