Finding the Third Proportional to 123,202 and 267,124

Step by Step Solution

1. Step 1: Write the proportion equation
   123,202 : 267,124 = 267,124 : x
2. Step 2: Convert to fraction form
   123,202/267,124 = 267,124/x
3. Step 3: Cross multiply
   123,202x = 267,124 × 267,124
4. Step 4: Simplify right side
   123,202x = 71,355,231,376
5. Step 5: Solve for x
   x = 71,355,231,376/123,202
6. Step 6: Final answer
   x = 579,172.67