Finding the Third Proportional to 86,061 and 182,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,061 : 182,563.50 = 182,563.50 : x
2. Step 2: Convert to fraction form
   86,061/182,563.50 = 182,563.50/x
3. Step 3: Cross multiply
   86,061x = 182,563.50 × 182,563.50
4. Step 4: Simplify right side
   86,061x = 33,329,431,532.25
5. Step 5: Solve for x
   x = 33,329,431,532.25/86,061
6. Step 6: Final answer
   x = 387,276.83