Finding the Third Proportional to 382,051 and 581,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,051 : 581,833.50 = 581,833.50 : x
2. Step 2: Convert to fraction form
   382,051/581,833.50 = 581,833.50/x
3. Step 3: Cross multiply
   382,051x = 581,833.50 × 581,833.50
4. Step 4: Simplify right side
   382,051x = 338,530,221,722.25
5. Step 5: Solve for x
   x = 338,530,221,722.25/382,051
6. Step 6: Final answer
   x = 886,086.47