Finding the Third Proportional to 172,584 and 371,196

Step by Step Solution

1. Step 1: Write the proportion equation
   172,584 : 371,196 = 371,196 : x
2. Step 2: Convert to fraction form
   172,584/371,196 = 371,196/x
3. Step 3: Cross multiply
   172,584x = 371,196 × 371,196
4. Step 4: Simplify right side
   172,584x = 137,786,470,416
5. Step 5: Solve for x
   x = 137,786,470,416/172,584
6. Step 6: Final answer
   x = 798,373.37