Finding the Third Proportional to 147,867 and 209,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,867 : 209,224.50 = 209,224.50 : x
2. Step 2: Convert to fraction form
   147,867/209,224.50 = 209,224.50/x
3. Step 3: Cross multiply
   147,867x = 209,224.50 × 209,224.50
4. Step 4: Simplify right side
   147,867x = 43,774,891,400.25
5. Step 5: Solve for x
   x = 43,774,891,400.25/147,867
6. Step 6: Final answer
   x = 296,042.33