Finding the Third Proportional to 52,683 and 114,114

Step by Step Solution

1. Step 1: Write the proportion equation
   52,683 : 114,114 = 114,114 : x
2. Step 2: Convert to fraction form
   52,683/114,114 = 114,114/x
3. Step 3: Cross multiply
   52,683x = 114,114 × 114,114
4. Step 4: Simplify right side
   52,683x = 13,022,004,996
5. Step 5: Solve for x
   x = 13,022,004,996/52,683
6. Step 6: Final answer
   x = 247,176.60