Finding the Third Proportional to 59,386 and 123,685

Step by Step Solution

1. Step 1: Write the proportion equation
   59,386 : 123,685 = 123,685 : x
2. Step 2: Convert to fraction form
   59,386/123,685 = 123,685/x
3. Step 3: Cross multiply
   59,386x = 123,685 × 123,685
4. Step 4: Simplify right side
   59,386x = 15,297,979,225
5. Step 5: Solve for x
   x = 15,297,979,225/59,386
6. Step 6: Final answer
   x = 257,602.45