Finding the Third Proportional to 119,766 and 254,139

Step by Step Solution

1. Step 1: Write the proportion equation
   119,766 : 254,139 = 254,139 : x
2. Step 2: Convert to fraction form
   119,766/254,139 = 254,139/x
3. Step 3: Cross multiply
   119,766x = 254,139 × 254,139
4. Step 4: Simplify right side
   119,766x = 64,586,631,321
5. Step 5: Solve for x
   x = 64,586,631,321/119,766
6. Step 6: Final answer
   x = 539,273.51