Finding the Third Proportional to 78,196 and 171,944

Step by Step Solution

1. Step 1: Write the proportion equation
   78,196 : 171,944 = 171,944 : x
2. Step 2: Convert to fraction form
   78,196/171,944 = 171,944/x
3. Step 3: Cross multiply
   78,196x = 171,944 × 171,944
4. Step 4: Simplify right side
   78,196x = 29,564,739,136
5. Step 5: Solve for x
   x = 29,564,739,136/78,196
6. Step 6: Final answer
   x = 378,085.06