Finding the Third Proportional to 182,533.50 and 398,682

Step by Step Solution

1. Step 1: Write the proportion equation
   182,533.50 : 398,682 = 398,682 : x
2. Step 2: Convert to fraction form
   182,533.50/398,682 = 398,682/x
3. Step 3: Cross multiply
   182,533.50x = 398,682 × 398,682
4. Step 4: Simplify right side
   182,533.50x = 158,947,337,124
5. Step 5: Solve for x
   x = 158,947,337,124/182,533.50
6. Step 6: Final answer
   x = 870,784.47