Finding the Third Proportional to 121,969 and 266,978

Step by Step Solution

1. Step 1: Write the proportion equation
   121,969 : 266,978 = 266,978 : x
2. Step 2: Convert to fraction form
   121,969/266,978 = 266,978/x
3. Step 3: Cross multiply
   121,969x = 266,978 × 266,978
4. Step 4: Simplify right side
   121,969x = 71,277,252,484
5. Step 5: Solve for x
   x = 71,277,252,484/121,969
6. Step 6: Final answer
   x = 584,388.27