Finding the Third Proportional to 83,433 and 179,988

Step by Step Solution

1. Step 1: Write the proportion equation
   83,433 : 179,988 = 179,988 : x
2. Step 2: Convert to fraction form
   83,433/179,988 = 179,988/x
3. Step 3: Cross multiply
   83,433x = 179,988 × 179,988
4. Step 4: Simplify right side
   83,433x = 32,395,680,144
5. Step 5: Solve for x
   x = 32,395,680,144/83,433
6. Step 6: Final answer
   x = 388,283.77