Finding the Third Proportional to 209,120 and 493,584

Step by Step Solution

1. Step 1: Write the proportion equation
   209,120 : 493,584 = 493,584 : x
2. Step 2: Convert to fraction form
   209,120/493,584 = 493,584/x
3. Step 3: Cross multiply
   209,120x = 493,584 × 493,584
4. Step 4: Simplify right side
   209,120x = 243,625,165,056
5. Step 5: Solve for x
   x = 243,625,165,056/209,120
6. Step 6: Final answer
   x = 1,165,001.75