Finding the Third Proportional to 123,216 and 267,152

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216 : 267,152 = 267,152 : x
2. Step 2: Convert to fraction form
   123,216/267,152 = 267,152/x
3. Step 3: Cross multiply
   123,216x = 267,152 × 267,152
4. Step 4: Simplify right side
   123,216x = 71,370,191,104
5. Step 5: Solve for x
   x = 71,370,191,104/123,216
6. Step 6: Final answer
   x = 579,228.27