Finding the Third Proportional to 109,152 and 195,840

Step by Step Solution

1. Step 1: Write the proportion equation
   109,152 : 195,840 = 195,840 : x
2. Step 2: Convert to fraction form
   109,152/195,840 = 195,840/x
3. Step 3: Cross multiply
   109,152x = 195,840 × 195,840
4. Step 4: Simplify right side
   109,152x = 38,353,305,600
5. Step 5: Solve for x
   x = 38,353,305,600/109,152
6. Step 6: Final answer
   x = 351,375.20