Finding the Third Proportional to 103,658 and 146,799

Step by Step Solution

1. Step 1: Write the proportion equation
   103,658 : 146,799 = 146,799 : x
2. Step 2: Convert to fraction form
   103,658/146,799 = 146,799/x
3. Step 3: Cross multiply
   103,658x = 146,799 × 146,799
4. Step 4: Simplify right side
   103,658x = 21,549,946,401
5. Step 5: Solve for x
   x = 21,549,946,401/103,658
6. Step 6: Final answer
   x = 207,894.68