Finding the Third Proportional to 53,671 and 116,570

Step by Step Solution

1. Step 1: Write the proportion equation
   53,671 : 116,570 = 116,570 : x
2. Step 2: Convert to fraction form
   53,671/116,570 = 116,570/x
3. Step 3: Cross multiply
   53,671x = 116,570 × 116,570
4. Step 4: Simplify right side
   53,671x = 13,588,564,900
5. Step 5: Solve for x
   x = 13,588,564,900/53,671
6. Step 6: Final answer
   x = 253,182.63