Finding the Third Proportional to 83,616 and 174,048

Step by Step Solution

1. Step 1: Write the proportion equation
   83,616 : 174,048 = 174,048 : x
2. Step 2: Convert to fraction form
   83,616/174,048 = 174,048/x
3. Step 3: Cross multiply
   83,616x = 174,048 × 174,048
4. Step 4: Simplify right side
   83,616x = 30,292,706,304
5. Step 5: Solve for x
   x = 30,292,706,304/83,616
6. Step 6: Final answer
   x = 362,283.61