Finding the Third Proportional to 375,823 and 581,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,823 : 581,671.50 = 581,671.50 : x
2. Step 2: Convert to fraction form
   375,823/581,671.50 = 581,671.50/x
3. Step 3: Cross multiply
   375,823x = 581,671.50 × 581,671.50
4. Step 4: Simplify right side
   375,823x = 338,341,733,912.25
5. Step 5: Solve for x
   x = 338,341,733,912.25/375,823
6. Step 6: Final answer
   x = 900,268.83