Finding the Third Proportional to 100,574 and 209,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,574 : 209,490.50 = 209,490.50 : x
2. Step 2: Convert to fraction form
   100,574/209,490.50 = 209,490.50/x
3. Step 3: Cross multiply
   100,574x = 209,490.50 × 209,490.50
4. Step 4: Simplify right side
   100,574x = 43,886,269,590.25
5. Step 5: Solve for x
   x = 43,886,269,590.25/100,574
6. Step 6: Final answer
   x = 436,358.00