Finding the Third Proportional to 105,158 and 229,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,158 : 229,347.50 = 229,347.50 : x
2. Step 2: Convert to fraction form
   105,158/229,347.50 = 229,347.50/x
3. Step 3: Cross multiply
   105,158x = 229,347.50 × 229,347.50
4. Step 4: Simplify right side
   105,158x = 52,600,275,756.25
5. Step 5: Solve for x
   x = 52,600,275,756.25/105,158
6. Step 6: Final answer
   x = 500,202.32