Finding the Third Proportional to 100,661.50 and 219,036

Step by Step Solution

1. Step 1: Write the proportion equation
   100,661.50 : 219,036 = 219,036 : x
2. Step 2: Convert to fraction form
   100,661.50/219,036 = 219,036/x
3. Step 3: Cross multiply
   100,661.50x = 219,036 × 219,036
4. Step 4: Simplify right side
   100,661.50x = 47,976,769,296
5. Step 5: Solve for x
   x = 47,976,769,296/100,661.50
6. Step 6: Final answer
   x = 476,614.89