Finding the Third Proportional to 52,145 and 114,091

Step by Step Solution

1. Step 1: Write the proportion equation
   52,145 : 114,091 = 114,091 : x
2. Step 2: Convert to fraction form
   52,145/114,091 = 114,091/x
3. Step 3: Cross multiply
   52,145x = 114,091 × 114,091
4. Step 4: Simplify right side
   52,145x = 13,016,756,281
5. Step 5: Solve for x
   x = 13,016,756,281/52,145
6. Step 6: Final answer
   x = 249,626.16