Finding the Third Proportional to 109,018 and 146,506

Step by Step Solution

1. Step 1: Write the proportion equation
   109,018 : 146,506 = 146,506 : x
2. Step 2: Convert to fraction form
   109,018/146,506 = 146,506/x
3. Step 3: Cross multiply
   109,018x = 146,506 × 146,506
4. Step 4: Simplify right side
   109,018x = 21,464,008,036
5. Step 5: Solve for x
   x = 21,464,008,036/109,018
6. Step 6: Final answer
   x = 196,884.99