Finding the Third Proportional to 53,782 and 116,762

Step by Step Solution

1. Step 1: Write the proportion equation
   53,782 : 116,762 = 116,762 : x
2. Step 2: Convert to fraction form
   53,782/116,762 = 116,762/x
3. Step 3: Cross multiply
   53,782x = 116,762 × 116,762
4. Step 4: Simplify right side
   53,782x = 13,633,364,644
5. Step 5: Solve for x
   x = 13,633,364,644/53,782
6. Step 6: Final answer
   x = 253,493.08