Finding the Third Proportional to 126,225 and 194,003

Step by Step Solution

1. Step 1: Write the proportion equation
   126,225 : 194,003 = 194,003 : x
2. Step 2: Convert to fraction form
   126,225/194,003 = 194,003/x
3. Step 3: Cross multiply
   126,225x = 194,003 × 194,003
4. Step 4: Simplify right side
   126,225x = 37,637,164,009
5. Step 5: Solve for x
   x = 37,637,164,009/126,225
6. Step 6: Final answer
   x = 298,175.20