Finding the Third Proportional to 50,688 and 117,468

Step by Step Solution

1. Step 1: Write the proportion equation
   50,688 : 117,468 = 117,468 : x
2. Step 2: Convert to fraction form
   50,688/117,468 = 117,468/x
3. Step 3: Cross multiply
   50,688x = 117,468 × 117,468
4. Step 4: Simplify right side
   50,688x = 13,798,731,024
5. Step 5: Solve for x
   x = 13,798,731,024/50,688
6. Step 6: Final answer
   x = 272,228.75