Finding the Third Proportional to 100,926 and 144,828

Step by Step Solution

1. Step 1: Write the proportion equation
   100,926 : 144,828 = 144,828 : x
2. Step 2: Convert to fraction form
   100,926/144,828 = 144,828/x
3. Step 3: Cross multiply
   100,926x = 144,828 × 144,828
4. Step 4: Simplify right side
   100,926x = 20,975,149,584
5. Step 5: Solve for x
   x = 20,975,149,584/100,926
6. Step 6: Final answer
   x = 207,827.02