Finding the Third Proportional to 105,212 and 162,988

Step by Step Solution

1. Step 1: Write the proportion equation
   105,212 : 162,988 = 162,988 : x
2. Step 2: Convert to fraction form
   105,212/162,988 = 162,988/x
3. Step 3: Cross multiply
   105,212x = 162,988 × 162,988
4. Step 4: Simplify right side
   105,212x = 26,565,088,144
5. Step 5: Solve for x
   x = 26,565,088,144/105,212
6. Step 6: Final answer
   x = 252,491.05