Finding the Third Proportional to 100,610.25 and 209,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,610.25 : 209,470.50 = 209,470.50 : x
2. Step 2: Convert to fraction form
   100,610.25/209,470.50 = 209,470.50/x
3. Step 3: Cross multiply
   100,610.25x = 209,470.50 × 209,470.50
4. Step 4: Simplify right side
   100,610.25x = 43,877,890,370.25
5. Step 5: Solve for x
   x = 43,877,890,370.25/100,610.25
6. Step 6: Final answer
   x = 436,117.50