Finding the Third Proportional to 80,570 and 172,798

Step by Step Solution

1. Step 1: Write the proportion equation
   80,570 : 172,798 = 172,798 : x
2. Step 2: Convert to fraction form
   80,570/172,798 = 172,798/x
3. Step 3: Cross multiply
   80,570x = 172,798 × 172,798
4. Step 4: Simplify right side
   80,570x = 29,859,148,804
5. Step 5: Solve for x
   x = 29,859,148,804/80,570
6. Step 6: Final answer
   x = 370,598.84