Finding the Third Proportional to 58,684 and 114,428

Step by Step Solution

1. Step 1: Write the proportion equation
   58,684 : 114,428 = 114,428 : x
2. Step 2: Convert to fraction form
   58,684/114,428 = 114,428/x
3. Step 3: Cross multiply
   58,684x = 114,428 × 114,428
4. Step 4: Simplify right side
   58,684x = 13,093,767,184
5. Step 5: Solve for x
   x = 13,093,767,184/58,684
6. Step 6: Final answer
   x = 223,123.29