Finding the Third Proportional to 78,252 and 160,148

Step by Step Solution

1. Step 1: Write the proportion equation
   78,252 : 160,148 = 160,148 : x
2. Step 2: Convert to fraction form
   78,252/160,148 = 160,148/x
3. Step 3: Cross multiply
   78,252x = 160,148 × 160,148
4. Step 4: Simplify right side
   78,252x = 25,647,381,904
5. Step 5: Solve for x
   x = 25,647,381,904/78,252
6. Step 6: Final answer
   x = 327,753.69