Finding the Third Proportional to 78,460 and 116,166

Step by Step Solution

1. Step 1: Write the proportion equation
   78,460 : 116,166 = 116,166 : x
2. Step 2: Convert to fraction form
   78,460/116,166 = 116,166/x
3. Step 3: Cross multiply
   78,460x = 116,166 × 116,166
4. Step 4: Simplify right side
   78,460x = 13,494,539,556
5. Step 5: Solve for x
   x = 13,494,539,556/78,460
6. Step 6: Final answer
   x = 171,992.60