Finding the Third Proportional to 103,066 and 219,632

Step by Step Solution

1. Step 1: Write the proportion equation
   103,066 : 219,632 = 219,632 : x
2. Step 2: Convert to fraction form
   103,066/219,632 = 219,632/x
3. Step 3: Cross multiply
   103,066x = 219,632 × 219,632
4. Step 4: Simplify right side
   103,066x = 48,238,215,424
5. Step 5: Solve for x
   x = 48,238,215,424/103,066
6. Step 6: Final answer
   x = 468,032.28