Finding the Third Proportional to 175,196 and 362,834

Step by Step Solution

1. Step 1: Write the proportion equation
   175,196 : 362,834 = 362,834 : x
2. Step 2: Convert to fraction form
   175,196/362,834 = 362,834/x
3. Step 3: Cross multiply
   175,196x = 362,834 × 362,834
4. Step 4: Simplify right side
   175,196x = 131,648,511,556
5. Step 5: Solve for x
   x = 131,648,511,556/175,196
6. Step 6: Final answer
   x = 751,435.60