Finding the Third Proportional to 83,268 and 187,434

Step by Step Solution

1. Step 1: Write the proportion equation
   83,268 : 187,434 = 187,434 : x
2. Step 2: Convert to fraction form
   83,268/187,434 = 187,434/x
3. Step 3: Cross multiply
   83,268x = 187,434 × 187,434
4. Step 4: Simplify right side
   83,268x = 35,131,504,356
5. Step 5: Solve for x
   x = 35,131,504,356/83,268
6. Step 6: Final answer
   x = 421,908.83