Finding the Third Proportional to 106,663 and 229,140

Step by Step Solution

1. Step 1: Write the proportion equation
   106,663 : 229,140 = 229,140 : x
2. Step 2: Convert to fraction form
   106,663/229,140 = 229,140/x
3. Step 3: Cross multiply
   106,663x = 229,140 × 229,140
4. Step 4: Simplify right side
   106,663x = 52,505,139,600
5. Step 5: Solve for x
   x = 52,505,139,600/106,663
6. Step 6: Final answer
   x = 492,252.60