Finding the Third Proportional to 78,912 and 171,196

Step by Step Solution

1. Step 1: Write the proportion equation
   78,912 : 171,196 = 171,196 : x
2. Step 2: Convert to fraction form
   78,912/171,196 = 171,196/x
3. Step 3: Cross multiply
   78,912x = 171,196 × 171,196
4. Step 4: Simplify right side
   78,912x = 29,308,070,416
5. Step 5: Solve for x
   x = 29,308,070,416/78,912
6. Step 6: Final answer
   x = 371,401.95