Finding the Third Proportional to 83,578 and 174,068

Step by Step Solution

1. Step 1: Write the proportion equation
   83,578 : 174,068 = 174,068 : x
2. Step 2: Convert to fraction form
   83,578/174,068 = 174,068/x
3. Step 3: Cross multiply
   83,578x = 174,068 × 174,068
4. Step 4: Simplify right side
   83,578x = 30,299,668,624
5. Step 5: Solve for x
   x = 30,299,668,624/83,578
6. Step 6: Final answer
   x = 362,531.63