Finding the Third Proportional to 81,774 and 175,196

Step by Step Solution

1. Step 1: Write the proportion equation
   81,774 : 175,196 = 175,196 : x
2. Step 2: Convert to fraction form
   81,774/175,196 = 175,196/x
3. Step 3: Cross multiply
   81,774x = 175,196 × 175,196
4. Step 4: Simplify right side
   81,774x = 30,693,638,416
5. Step 5: Solve for x
   x = 30,693,638,416/81,774
6. Step 6: Final answer
   x = 375,347.16