Finding the Third Proportional to 52,814 and 114,736

Step by Step Solution

1. Step 1: Write the proportion equation
   52,814 : 114,736 = 114,736 : x
2. Step 2: Convert to fraction form
   52,814/114,736 = 114,736/x
3. Step 3: Cross multiply
   52,814x = 114,736 × 114,736
4. Step 4: Simplify right side
   52,814x = 13,164,349,696
5. Step 5: Solve for x
   x = 13,164,349,696/52,814
6. Step 6: Final answer
   x = 249,258.71