Finding the Third Proportional to 123,984 and 267,646

Step by Step Solution

1. Step 1: Write the proportion equation
   123,984 : 267,646 = 267,646 : x
2. Step 2: Convert to fraction form
   123,984/267,646 = 267,646/x
3. Step 3: Cross multiply
   123,984x = 267,646 × 267,646
4. Step 4: Simplify right side
   123,984x = 71,634,381,316
5. Step 5: Solve for x
   x = 71,634,381,316/123,984
6. Step 6: Final answer
   x = 577,771.17