Finding the Third Proportional to 100,663 and 219,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,663 : 219,039.50 = 219,039.50 : x
2. Step 2: Convert to fraction form
   100,663/219,039.50 = 219,039.50/x
3. Step 3: Cross multiply
   100,663x = 219,039.50 × 219,039.50
4. Step 4: Simplify right side
   100,663x = 47,978,302,560.25
5. Step 5: Solve for x
   x = 47,978,302,560.25/100,663
6. Step 6: Final answer
   x = 476,623.02