Finding the Third Proportional to 126,822 and 195,003

Step by Step Solution

1. Step 1: Write the proportion equation
   126,822 : 195,003 = 195,003 : x
2. Step 2: Convert to fraction form
   126,822/195,003 = 195,003/x
3. Step 3: Cross multiply
   126,822x = 195,003 × 195,003
4. Step 4: Simplify right side
   126,822x = 38,026,170,009
5. Step 5: Solve for x
   x = 38,026,170,009/126,822
6. Step 6: Final answer
   x = 299,838.91