Finding the Third Proportional to 81,598 and 114,906

Step by Step Solution

1. Step 1: Write the proportion equation
   81,598 : 114,906 = 114,906 : x
2. Step 2: Convert to fraction form
   81,598/114,906 = 114,906/x
3. Step 3: Cross multiply
   81,598x = 114,906 × 114,906
4. Step 4: Simplify right side
   81,598x = 13,203,388,836
5. Step 5: Solve for x
   x = 13,203,388,836/81,598
6. Step 6: Final answer
   x = 161,810.20