Finding the Third Proportional to 52,142 and 114,085

Step by Step Solution

1. Step 1: Write the proportion equation
   52,142 : 114,085 = 114,085 : x
2. Step 2: Convert to fraction form
   52,142/114,085 = 114,085/x
3. Step 3: Cross multiply
   52,142x = 114,085 × 114,085
4. Step 4: Simplify right side
   52,142x = 13,015,387,225
5. Step 5: Solve for x
   x = 13,015,387,225/52,142
6. Step 6: Final answer
   x = 249,614.27