Finding the Third Proportional to 52,823 and 116,014

Step by Step Solution

1. Step 1: Write the proportion equation
   52,823 : 116,014 = 116,014 : x
2. Step 2: Convert to fraction form
   52,823/116,014 = 116,014/x
3. Step 3: Cross multiply
   52,823x = 116,014 × 116,014
4. Step 4: Simplify right side
   52,823x = 13,459,248,196
5. Step 5: Solve for x
   x = 13,459,248,196/52,823
6. Step 6: Final answer
   x = 254,799.01