Finding the Third Proportional to 100,578 and 209,423.25

Step by Step Solution

1. Step 1: Write the proportion equation
   100,578 : 209,423.25 = 209,423.25 : x
2. Step 2: Convert to fraction form
   100,578/209,423.25 = 209,423.25/x
3. Step 3: Cross multiply
   100,578x = 209,423.25 × 209,423.25
4. Step 4: Simplify right side
   100,578x = 43,858,097,640.56
5. Step 5: Solve for x
   x = 43,858,097,640.56/100,578
6. Step 6: Final answer
   x = 436,060.55