Finding the Third Proportional to 83,712 and 188,928

Step by Step Solution

1. Step 1: Write the proportion equation
   83,712 : 188,928 = 188,928 : x
2. Step 2: Convert to fraction form
   83,712/188,928 = 188,928/x
3. Step 3: Cross multiply
   83,712x = 188,928 × 188,928
4. Step 4: Simplify right side
   83,712x = 35,693,789,184
5. Step 5: Solve for x
   x = 35,693,789,184/83,712
6. Step 6: Final answer
   x = 426,387.96