Finding the Third Proportional to 109,225 and 146,803

Step by Step Solution

1. Step 1: Write the proportion equation
   109,225 : 146,803 = 146,803 : x
2. Step 2: Convert to fraction form
   109,225/146,803 = 146,803/x
3. Step 3: Cross multiply
   109,225x = 146,803 × 146,803
4. Step 4: Simplify right side
   109,225x = 21,551,120,809
5. Step 5: Solve for x
   x = 21,551,120,809/109,225
6. Step 6: Final answer
   x = 197,309.41