Finding the Third Proportional to 100,584 and 209,351.25

Step by Step Solution

1. Step 1: Write the proportion equation
   100,584 : 209,351.25 = 209,351.25 : x
2. Step 2: Convert to fraction form
   100,584/209,351.25 = 209,351.25/x
3. Step 3: Cross multiply
   100,584x = 209,351.25 × 209,351.25
4. Step 4: Simplify right side
   100,584x = 43,827,945,876.56
5. Step 5: Solve for x
   x = 43,827,945,876.56/100,584
6. Step 6: Final answer
   x = 435,734.77