Finding the Third Proportional to 53,314 and 113,188

Step by Step Solution

1. Step 1: Write the proportion equation
   53,314 : 113,188 = 113,188 : x
2. Step 2: Convert to fraction form
   53,314/113,188 = 113,188/x
3. Step 3: Cross multiply
   53,314x = 113,188 × 113,188
4. Step 4: Simplify right side
   53,314x = 12,811,523,344
5. Step 5: Solve for x
   x = 12,811,523,344/53,314
6. Step 6: Final answer
   x = 240,303.17