Finding the Third Proportional to 52,185 and 114,216

Step by Step Solution

1. Step 1: Write the proportion equation
   52,185 : 114,216 = 114,216 : x
2. Step 2: Convert to fraction form
   52,185/114,216 = 114,216/x
3. Step 3: Cross multiply
   52,185x = 114,216 × 114,216
4. Step 4: Simplify right side
   52,185x = 13,045,294,656
5. Step 5: Solve for x
   x = 13,045,294,656/52,185
6. Step 6: Final answer
   x = 249,981.69