Finding the Third Proportional to 52,364 and 116,336

Step by Step Solution

1. Step 1: Write the proportion equation
   52,364 : 116,336 = 116,336 : x
2. Step 2: Convert to fraction form
   52,364/116,336 = 116,336/x
3. Step 3: Cross multiply
   52,364x = 116,336 × 116,336
4. Step 4: Simplify right side
   52,364x = 13,534,064,896
5. Step 5: Solve for x
   x = 13,534,064,896/52,364
6. Step 6: Final answer
   x = 258,461.25