Finding the Third Proportional to 175,041 and 381,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,041 : 381,757.50 = 381,757.50 : x
2. Step 2: Convert to fraction form
   175,041/381,757.50 = 381,757.50/x
3. Step 3: Cross multiply
   175,041x = 381,757.50 × 381,757.50
4. Step 4: Simplify right side
   175,041x = 145,738,788,806.25
5. Step 5: Solve for x
   x = 145,738,788,806.25/175,041
6. Step 6: Final answer
   x = 832,598.01