Finding the Third Proportional to 58,646 and 123,124

Step by Step Solution

1. Step 1: Write the proportion equation
   58,646 : 123,124 = 123,124 : x
2. Step 2: Convert to fraction form
   58,646/123,124 = 123,124/x
3. Step 3: Cross multiply
   58,646x = 123,124 × 123,124
4. Step 4: Simplify right side
   58,646x = 15,159,519,376
5. Step 5: Solve for x
   x = 15,159,519,376/58,646
6. Step 6: Final answer
   x = 258,491.96