Finding the Third Proportional to 233,707.50 and 381,582

Step by Step Solution

1. Step 1: Write the proportion equation
   233,707.50 : 381,582 = 381,582 : x
2. Step 2: Convert to fraction form
   233,707.50/381,582 = 381,582/x
3. Step 3: Cross multiply
   233,707.50x = 381,582 × 381,582
4. Step 4: Simplify right side
   233,707.50x = 145,604,822,724
5. Step 5: Solve for x
   x = 145,604,822,724/233,707.50
6. Step 6: Final answer
   x = 623,021.61