Finding the Third Proportional to 105,349 and 229,634

Step by Step Solution

1. Step 1: Write the proportion equation
   105,349 : 229,634 = 229,634 : x
2. Step 2: Convert to fraction form
   105,349/229,634 = 229,634/x
3. Step 3: Cross multiply
   105,349x = 229,634 × 229,634
4. Step 4: Simplify right side
   105,349x = 52,731,773,956
5. Step 5: Solve for x
   x = 52,731,773,956/105,349
6. Step 6: Final answer
   x = 500,543.66