Finding the Third Proportional to 100,469 and 140,470

Step by Step Solution

1. Step 1: Write the proportion equation
   100,469 : 140,470 = 140,470 : x
2. Step 2: Convert to fraction form
   100,469/140,470 = 140,470/x
3. Step 3: Cross multiply
   100,469x = 140,470 × 140,470
4. Step 4: Simplify right side
   100,469x = 19,731,820,900
5. Step 5: Solve for x
   x = 19,731,820,900/100,469
6. Step 6: Final answer
   x = 196,397.11