Finding the Third Proportional to 105,156 and 229,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,156 : 229,342.50 = 229,342.50 : x
2. Step 2: Convert to fraction form
   105,156/229,342.50 = 229,342.50/x
3. Step 3: Cross multiply
   105,156x = 229,342.50 × 229,342.50
4. Step 4: Simplify right side
   105,156x = 52,597,982,306.25
5. Step 5: Solve for x
   x = 52,597,982,306.25/105,156
6. Step 6: Final answer
   x = 500,190.03