Finding the Third Proportional to 83,511 and 182,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,511 : 182,011.50 = 182,011.50 : x
2. Step 2: Convert to fraction form
   83,511/182,011.50 = 182,011.50/x
3. Step 3: Cross multiply
   83,511x = 182,011.50 × 182,011.50
4. Step 4: Simplify right side
   83,511x = 33,128,186,132.25
5. Step 5: Solve for x
   x = 33,128,186,132.25/83,511
6. Step 6: Final answer
   x = 396,692.49