Finding the Third Proportional to 103,322 and 219,046

Step by Step Solution

1. Step 1: Write the proportion equation
   103,322 : 219,046 = 219,046 : x
2. Step 2: Convert to fraction form
   103,322/219,046 = 219,046/x
3. Step 3: Cross multiply
   103,322x = 219,046 × 219,046
4. Step 4: Simplify right side
   103,322x = 47,981,150,116
5. Step 5: Solve for x
   x = 47,981,150,116/103,322
6. Step 6: Final answer
   x = 464,384.64