Finding the Third Proportional to 146,623.50 and 319,491

Step by Step Solution

1. Step 1: Write the proportion equation
   146,623.50 : 319,491 = 319,491 : x
2. Step 2: Convert to fraction form
   146,623.50/319,491 = 319,491/x
3. Step 3: Cross multiply
   146,623.50x = 319,491 × 319,491
4. Step 4: Simplify right side
   146,623.50x = 102,074,499,081
5. Step 5: Solve for x
   x = 102,074,499,081/146,623.50
6. Step 6: Final answer
   x = 696,167.39