Finding the Third Proportional to 105,092 and 229,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,092 : 229,908.50 = 229,908.50 : x
2. Step 2: Convert to fraction form
   105,092/229,908.50 = 229,908.50/x
3. Step 3: Cross multiply
   105,092x = 229,908.50 × 229,908.50
4. Step 4: Simplify right side
   105,092x = 52,857,918,372.25
5. Step 5: Solve for x
   x = 52,857,918,372.25/105,092
6. Step 6: Final answer
   x = 502,968.05