Finding the Third Proportional to 53,008 and 112,336

Step by Step Solution

1. Step 1: Write the proportion equation
   53,008 : 112,336 = 112,336 : x
2. Step 2: Convert to fraction form
   53,008/112,336 = 112,336/x
3. Step 3: Cross multiply
   53,008x = 112,336 × 112,336
4. Step 4: Simplify right side
   53,008x = 12,619,376,896
5. Step 5: Solve for x
   x = 12,619,376,896/53,008
6. Step 6: Final answer
   x = 238,065.52