Finding the Third Proportional to 103,310 and 146,233

Step by Step Solution

1. Step 1: Write the proportion equation
   103,310 : 146,233 = 146,233 : x
2. Step 2: Convert to fraction form
   103,310/146,233 = 146,233/x
3. Step 3: Cross multiply
   103,310x = 146,233 × 146,233
4. Step 4: Simplify right side
   103,310x = 21,384,090,289
5. Step 5: Solve for x
   x = 21,384,090,289/103,310
6. Step 6: Final answer
   x = 206,989.55