Finding the Third Proportional to 83,770 and 126,428

Step by Step Solution

1. Step 1: Write the proportion equation
   83,770 : 126,428 = 126,428 : x
2. Step 2: Convert to fraction form
   83,770/126,428 = 126,428/x
3. Step 3: Cross multiply
   83,770x = 126,428 × 126,428
4. Step 4: Simplify right side
   83,770x = 15,984,039,184
5. Step 5: Solve for x
   x = 15,984,039,184/83,770
6. Step 6: Final answer
   x = 190,808.63