Finding the Third Proportional to 233,694 and 381,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,694 : 381,563.50 = 381,563.50 : x
2. Step 2: Convert to fraction form
   233,694/381,563.50 = 381,563.50/x
3. Step 3: Cross multiply
   233,694x = 381,563.50 × 381,563.50
4. Step 4: Simplify right side
   233,694x = 145,590,704,532.25
5. Step 5: Solve for x
   x = 145,590,704,532.25/233,694
6. Step 6: Final answer
   x = 622,997.19