Finding the Third Proportional to 52,688 and 114,844

Step by Step Solution

1. Step 1: Write the proportion equation
   52,688 : 114,844 = 114,844 : x
2. Step 2: Convert to fraction form
   52,688/114,844 = 114,844/x
3. Step 3: Cross multiply
   52,688x = 114,844 × 114,844
4. Step 4: Simplify right side
   52,688x = 13,189,144,336
5. Step 5: Solve for x
   x = 13,189,144,336/52,688
6. Step 6: Final answer
   x = 250,325.39