Finding the Third Proportional to 109,193.50 and 231,509

Step by Step Solution

1. Step 1: Write the proportion equation
   109,193.50 : 231,509 = 231,509 : x
2. Step 2: Convert to fraction form
   109,193.50/231,509 = 231,509/x
3. Step 3: Cross multiply
   109,193.50x = 231,509 × 231,509
4. Step 4: Simplify right side
   109,193.50x = 53,596,417,081
5. Step 5: Solve for x
   x = 53,596,417,081/109,193.50
6. Step 6: Final answer
   x = 490,838.90