Finding the Third Proportional to 78,547 and 168,166

Step by Step Solution

1. Step 1: Write the proportion equation
   78,547 : 168,166 = 168,166 : x
2. Step 2: Convert to fraction form
   78,547/168,166 = 168,166/x
3. Step 3: Cross multiply
   78,547x = 168,166 × 168,166
4. Step 4: Simplify right side
   78,547x = 28,279,803,556
5. Step 5: Solve for x
   x = 28,279,803,556/78,547
6. Step 6: Final answer
   x = 360,036.71