Finding the Third Proportional to 53,624 and 116,464

Step by Step Solution

1. Step 1: Write the proportion equation
   53,624 : 116,464 = 116,464 : x
2. Step 2: Convert to fraction form
   53,624/116,464 = 116,464/x
3. Step 3: Cross multiply
   53,624x = 116,464 × 116,464
4. Step 4: Simplify right side
   53,624x = 13,563,863,296
5. Step 5: Solve for x
   x = 13,563,863,296/53,624
6. Step 6: Final answer
   x = 252,943.89