Finding the Third Proportional to 105,680 and 154,632

Step by Step Solution

1. Step 1: Write the proportion equation
   105,680 : 154,632 = 154,632 : x
2. Step 2: Convert to fraction form
   105,680/154,632 = 154,632/x
3. Step 3: Cross multiply
   105,680x = 154,632 × 154,632
4. Step 4: Simplify right side
   105,680x = 23,911,055,424
5. Step 5: Solve for x
   x = 23,911,055,424/105,680
6. Step 6: Final answer
   x = 226,259.04