Finding the Third Proportional to 267,106 and 415,978

Step by Step Solution

1. Step 1: Write the proportion equation
   267,106 : 415,978 = 415,978 : x
2. Step 2: Convert to fraction form
   267,106/415,978 = 415,978/x
3. Step 3: Cross multiply
   267,106x = 415,978 × 415,978
4. Step 4: Simplify right side
   267,106x = 173,037,696,484
5. Step 5: Solve for x
   x = 173,037,696,484/267,106
6. Step 6: Final answer
   x = 647,824.07