Finding the Third Proportional to 53,358 and 116,112

Step by Step Solution

1. Step 1: Write the proportion equation
   53,358 : 116,112 = 116,112 : x
2. Step 2: Convert to fraction form
   53,358/116,112 = 116,112/x
3. Step 3: Cross multiply
   53,358x = 116,112 × 116,112
4. Step 4: Simplify right side
   53,358x = 13,481,996,544
5. Step 5: Solve for x
   x = 13,481,996,544/53,358
6. Step 6: Final answer
   x = 252,670.58