Finding the Third Proportional to 78,188 and 159,148

Step by Step Solution

1. Step 1: Write the proportion equation
   78,188 : 159,148 = 159,148 : x
2. Step 2: Convert to fraction form
   78,188/159,148 = 159,148/x
3. Step 3: Cross multiply
   78,188x = 159,148 × 159,148
4. Step 4: Simplify right side
   78,188x = 25,328,085,904
5. Step 5: Solve for x
   x = 25,328,085,904/78,188
6. Step 6: Final answer
   x = 323,938.28