Finding the Third Proportional to 99,978 and 154,746

Step by Step Solution

1. Step 1: Write the proportion equation
   99,978 : 154,746 = 154,746 : x
2. Step 2: Convert to fraction form
   99,978/154,746 = 154,746/x
3. Step 3: Cross multiply
   99,978x = 154,746 × 154,746
4. Step 4: Simplify right side
   99,978x = 23,946,324,516
5. Step 5: Solve for x
   x = 23,946,324,516/99,978
6. Step 6: Final answer
   x = 239,515.94