Finding the Third Proportional to 103,677 and 146,099

Step by Step Solution

1. Step 1: Write the proportion equation
   103,677 : 146,099 = 146,099 : x
2. Step 2: Convert to fraction form
   103,677/146,099 = 146,099/x
3. Step 3: Cross multiply
   103,677x = 146,099 × 146,099
4. Step 4: Simplify right side
   103,677x = 21,344,917,801
5. Step 5: Solve for x
   x = 21,344,917,801/103,677
6. Step 6: Final answer
   x = 205,879.01