Finding the Third Proportional to 121,674 and 266,253.75

Step by Step Solution

1. Step 1: Write the proportion equation
   121,674 : 266,253.75 = 266,253.75 : x
2. Step 2: Convert to fraction form
   121,674/266,253.75 = 266,253.75/x
3. Step 3: Cross multiply
   121,674x = 266,253.75 × 266,253.75
4. Step 4: Simplify right side
   121,674x = 70,891,059,389.06
5. Step 5: Solve for x
   x = 70,891,059,389.06/121,674
6. Step 6: Final answer
   x = 582,631.12