Finding the Third Proportional to 84,665 and 116,099

Step by Step Solution

1. Step 1: Write the proportion equation
   84,665 : 116,099 = 116,099 : x
2. Step 2: Convert to fraction form
   84,665/116,099 = 116,099/x
3. Step 3: Cross multiply
   84,665x = 116,099 × 116,099
4. Step 4: Simplify right side
   84,665x = 13,478,977,801
5. Step 5: Solve for x
   x = 13,478,977,801/84,665
6. Step 6: Final answer
   x = 159,203.66