Finding the Third Proportional to 105,188 and 229,650

Step by Step Solution

1. Step 1: Write the proportion equation
   105,188 : 229,650 = 229,650 : x
2. Step 2: Convert to fraction form
   105,188/229,650 = 229,650/x
3. Step 3: Cross multiply
   105,188x = 229,650 × 229,650
4. Step 4: Simplify right side
   105,188x = 52,739,122,500
5. Step 5: Solve for x
   x = 52,739,122,500/105,188
6. Step 6: Final answer
   x = 501,379.65