Finding the Third Proportional to 297,522 and 416,139

Step by Step Solution

1. Step 1: Write the proportion equation
   297,522 : 416,139 = 416,139 : x
2. Step 2: Convert to fraction form
   297,522/416,139 = 416,139/x
3. Step 3: Cross multiply
   297,522x = 416,139 × 416,139
4. Step 4: Simplify right side
   297,522x = 173,171,667,321
5. Step 5: Solve for x
   x = 173,171,667,321/297,522
6. Step 6: Final answer
   x = 582,046.60