Finding the Third Proportional to 53,684 and 112,264

Step by Step Solution

1. Step 1: Write the proportion equation
   53,684 : 112,264 = 112,264 : x
2. Step 2: Convert to fraction form
   53,684/112,264 = 112,264/x
3. Step 3: Cross multiply
   53,684x = 112,264 × 112,264
4. Step 4: Simplify right side
   53,684x = 12,603,205,696
5. Step 5: Solve for x
   x = 12,603,205,696/53,684
6. Step 6: Final answer
   x = 234,766.52