Finding the Third Proportional to 140,049 and 209,584

Step by Step Solution

1. Step 1: Write the proportion equation
   140,049 : 209,584 = 209,584 : x
2. Step 2: Convert to fraction form
   140,049/209,584 = 209,584/x
3. Step 3: Cross multiply
   140,049x = 209,584 × 209,584
4. Step 4: Simplify right side
   140,049x = 43,925,453,056
5. Step 5: Solve for x
   x = 43,925,453,056/140,049
6. Step 6: Final answer
   x = 313,643.46