Finding the Third Proportional to 105,358.50 and 228,213

Step by Step Solution

1. Step 1: Write the proportion equation
   105,358.50 : 228,213 = 228,213 : x
2. Step 2: Convert to fraction form
   105,358.50/228,213 = 228,213/x
3. Step 3: Cross multiply
   105,358.50x = 228,213 × 228,213
4. Step 4: Simplify right side
   105,358.50x = 52,081,173,369
5. Step 5: Solve for x
   x = 52,081,173,369/105,358.50
6. Step 6: Final answer
   x = 494,323.41