Finding the Third Proportional to 78,688 and 111,264

Step by Step Solution

1. Step 1: Write the proportion equation
   78,688 : 111,264 = 111,264 : x
2. Step 2: Convert to fraction form
   78,688/111,264 = 111,264/x
3. Step 3: Cross multiply
   78,688x = 111,264 × 111,264
4. Step 4: Simplify right side
   78,688x = 12,379,677,696
5. Step 5: Solve for x
   x = 12,379,677,696/78,688
6. Step 6: Final answer
   x = 157,326.12