Finding the Third Proportional to 80,352 and 174,798

Step by Step Solution

1. Step 1: Write the proportion equation
   80,352 : 174,798 = 174,798 : x
2. Step 2: Convert to fraction form
   80,352/174,798 = 174,798/x
3. Step 3: Cross multiply
   80,352x = 174,798 × 174,798
4. Step 4: Simplify right side
   80,352x = 30,554,340,804
5. Step 5: Solve for x
   x = 30,554,340,804/80,352
6. Step 6: Final answer
   x = 380,256.13