Finding the Third Proportional to 58,683 and 114,426

Step by Step Solution

1. Step 1: Write the proportion equation
   58,683 : 114,426 = 114,426 : x
2. Step 2: Convert to fraction form
   58,683/114,426 = 114,426/x
3. Step 3: Cross multiply
   58,683x = 114,426 × 114,426
4. Step 4: Simplify right side
   58,683x = 13,093,309,476
5. Step 5: Solve for x
   x = 13,093,309,476/58,683
6. Step 6: Final answer
   x = 223,119.29