Finding the Third Proportional to 109,012 and 146,498

Step by Step Solution

1. Step 1: Write the proportion equation
   109,012 : 146,498 = 146,498 : x
2. Step 2: Convert to fraction form
   109,012/146,498 = 146,498/x
3. Step 3: Cross multiply
   109,012x = 146,498 × 146,498
4. Step 4: Simplify right side
   109,012x = 21,461,664,004
5. Step 5: Solve for x
   x = 21,461,664,004/109,012
6. Step 6: Final answer
   x = 196,874.33