Finding the Third Proportional to 267,748 and 563,105

Step by Step Solution

1. Step 1: Write the proportion equation
   267,748 : 563,105 = 563,105 : x
2. Step 2: Convert to fraction form
   267,748/563,105 = 563,105/x
3. Step 3: Cross multiply
   267,748x = 563,105 × 563,105
4. Step 4: Simplify right side
   267,748x = 317,087,241,025
5. Step 5: Solve for x
   x = 317,087,241,025/267,748
6. Step 6: Final answer
   x = 1,184,274.92