Finding the Third Proportional to 100,663.50 and 219,040

Step by Step Solution

1. Step 1: Write the proportion equation
   100,663.50 : 219,040 = 219,040 : x
2. Step 2: Convert to fraction form
   100,663.50/219,040 = 219,040/x
3. Step 3: Cross multiply
   100,663.50x = 219,040 × 219,040
4. Step 4: Simplify right side
   100,663.50x = 47,978,521,600
5. Step 5: Solve for x
   x = 47,978,521,600/100,663.50
6. Step 6: Final answer
   x = 476,622.82