Finding the Third Proportional to 109,192.50 and 231,507

Step by Step Solution

1. Step 1: Write the proportion equation
   109,192.50 : 231,507 = 231,507 : x
2. Step 2: Convert to fraction form
   109,192.50/231,507 = 231,507/x
3. Step 3: Cross multiply
   109,192.50x = 231,507 × 231,507
4. Step 4: Simplify right side
   109,192.50x = 53,595,491,049
5. Step 5: Solve for x
   x = 53,595,491,049/109,192.50
6. Step 6: Final answer
   x = 490,834.91