Finding the Third Proportional to 149,624 and 319,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,624 : 319,983.50 = 319,983.50 : x
2. Step 2: Convert to fraction form
   149,624/319,983.50 = 319,983.50/x
3. Step 3: Cross multiply
   149,624x = 319,983.50 × 319,983.50
4. Step 4: Simplify right side
   149,624x = 102,389,440,272.25
5. Step 5: Solve for x
   x = 102,389,440,272.25/149,624
6. Step 6: Final answer
   x = 684,311.61