Finding the Third Proportional to 59,380 and 123,658

Step by Step Solution

1. Step 1: Write the proportion equation
   59,380 : 123,658 = 123,658 : x
2. Step 2: Convert to fraction form
   59,380/123,658 = 123,658/x
3. Step 3: Cross multiply
   59,380x = 123,658 × 123,658
4. Step 4: Simplify right side
   59,380x = 15,291,300,964
5. Step 5: Solve for x
   x = 15,291,300,964/59,380
6. Step 6: Final answer
   x = 257,516.01