Finding the Third Proportional to 53,182 and 116,023

Step by Step Solution

1. Step 1: Write the proportion equation
   53,182 : 116,023 = 116,023 : x
2. Step 2: Convert to fraction form
   53,182/116,023 = 116,023/x
3. Step 3: Cross multiply
   53,182x = 116,023 × 116,023
4. Step 4: Simplify right side
   53,182x = 13,461,336,529
5. Step 5: Solve for x
   x = 13,461,336,529/53,182
6. Step 6: Final answer
   x = 253,118.28