Finding the Third Proportional to 53,692 and 116,612

Step by Step Solution

1. Step 1: Write the proportion equation
   53,692 : 116,612 = 116,612 : x
2. Step 2: Convert to fraction form
   53,692/116,612 = 116,612/x
3. Step 3: Cross multiply
   53,692x = 116,612 × 116,612
4. Step 4: Simplify right side
   53,692x = 13,598,358,544
5. Step 5: Solve for x
   x = 13,598,358,544/53,692
6. Step 6: Final answer
   x = 253,266.01