Finding the Third Proportional to 103,683 and 146,108

Step by Step Solution

1. Step 1: Write the proportion equation
   103,683 : 146,108 = 146,108 : x
2. Step 2: Convert to fraction form
   103,683/146,108 = 146,108/x
3. Step 3: Cross multiply
   103,683x = 146,108 × 146,108
4. Step 4: Simplify right side
   103,683x = 21,347,547,664
5. Step 5: Solve for x
   x = 21,347,547,664/103,683
6. Step 6: Final answer
   x = 205,892.46