Finding the Third Proportional to 81,978 and 116,217

Step by Step Solution

1. Step 1: Write the proportion equation
   81,978 : 116,217 = 116,217 : x
2. Step 2: Convert to fraction form
   81,978/116,217 = 116,217/x
3. Step 3: Cross multiply
   81,978x = 116,217 × 116,217
4. Step 4: Simplify right side
   81,978x = 13,506,391,089
5. Step 5: Solve for x
   x = 13,506,391,089/81,978
6. Step 6: Final answer
   x = 164,756.29