Finding the Third Proportional to 107,648 and 154,088

Step by Step Solution

1. Step 1: Write the proportion equation
   107,648 : 154,088 = 154,088 : x
2. Step 2: Convert to fraction form
   107,648/154,088 = 154,088/x
3. Step 3: Cross multiply
   107,648x = 154,088 × 154,088
4. Step 4: Simplify right side
   107,648x = 23,743,111,744
5. Step 5: Solve for x
   x = 23,743,111,744/107,648
6. Step 6: Final answer
   x = 220,562.50