Finding the Third Proportional to 53,688 and 116,600

Step by Step Solution

1. Step 1: Write the proportion equation
   53,688 : 116,600 = 116,600 : x
2. Step 2: Convert to fraction form
   53,688/116,600 = 116,600/x
3. Step 3: Cross multiply
   53,688x = 116,600 × 116,600
4. Step 4: Simplify right side
   53,688x = 13,595,560,000
5. Step 5: Solve for x
   x = 13,595,560,000/53,688
6. Step 6: Final answer
   x = 253,232.75