Finding the Third Proportional to 53,112 and 116,025

Step by Step Solution

1. Step 1: Write the proportion equation
   53,112 : 116,025 = 116,025 : x
2. Step 2: Convert to fraction form
   53,112/116,025 = 116,025/x
3. Step 3: Cross multiply
   53,112x = 116,025 × 116,025
4. Step 4: Simplify right side
   53,112x = 13,461,800,625
5. Step 5: Solve for x
   x = 13,461,800,625/53,112
6. Step 6: Final answer
   x = 253,460.62