Finding the Third Proportional to 83,557 and 174,000

Step by Step Solution

1. Step 1: Write the proportion equation
   83,557 : 174,000 = 174,000 : x
2. Step 2: Convert to fraction form
   83,557/174,000 = 174,000/x
3. Step 3: Cross multiply
   83,557x = 174,000 × 174,000
4. Step 4: Simplify right side
   83,557x = 30,276,000,000
5. Step 5: Solve for x
   x = 30,276,000,000/83,557
6. Step 6: Final answer
   x = 362,339.48