Finding the Third Proportional to 78,196 and 168,516

Step by Step Solution

1. Step 1: Write the proportion equation
   78,196 : 168,516 = 168,516 : x
2. Step 2: Convert to fraction form
   78,196/168,516 = 168,516/x
3. Step 3: Cross multiply
   78,196x = 168,516 × 168,516
4. Step 4: Simplify right side
   78,196x = 28,397,642,256
5. Step 5: Solve for x
   x = 28,397,642,256/78,196
6. Step 6: Final answer
   x = 363,159.78