Finding the Third Proportional to 107,694 and 154,156

Step by Step Solution

1. Step 1: Write the proportion equation
   107,694 : 154,156 = 154,156 : x
2. Step 2: Convert to fraction form
   107,694/154,156 = 154,156/x
3. Step 3: Cross multiply
   107,694x = 154,156 × 154,156
4. Step 4: Simplify right side
   107,694x = 23,764,072,336
5. Step 5: Solve for x
   x = 23,764,072,336/107,694
6. Step 6: Final answer
   x = 220,662.92