Finding the Third Proportional to 53,281 and 116,586

Step by Step Solution

1. Step 1: Write the proportion equation
   53,281 : 116,586 = 116,586 : x
2. Step 2: Convert to fraction form
   53,281/116,586 = 116,586/x
3. Step 3: Cross multiply
   53,281x = 116,586 × 116,586
4. Step 4: Simplify right side
   53,281x = 13,592,295,396
5. Step 5: Solve for x
   x = 13,592,295,396/53,281
6. Step 6: Final answer
   x = 255,105.86