Finding the Third Proportional to 78,461 and 116,167

Step by Step Solution

1. Step 1: Write the proportion equation
   78,461 : 116,167 = 116,167 : x
2. Step 2: Convert to fraction form
   78,461/116,167 = 116,167/x
3. Step 3: Cross multiply
   78,461x = 116,167 × 116,167
4. Step 4: Simplify right side
   78,461x = 13,494,771,889
5. Step 5: Solve for x
   x = 13,494,771,889/78,461
6. Step 6: Final answer
   x = 171,993.37