Finding the Third Proportional to 114,460 and 154,686

Step by Step Solution

1. Step 1: Write the proportion equation
   114,460 : 154,686 = 154,686 : x
2. Step 2: Convert to fraction form
   114,460/154,686 = 154,686/x
3. Step 3: Cross multiply
   114,460x = 154,686 × 154,686
4. Step 4: Simplify right side
   114,460x = 23,927,758,596
5. Step 5: Solve for x
   x = 23,927,758,596/114,460
6. Step 6: Final answer
   x = 209,049.09