Finding the Third Proportional to 86,091 and 182,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,091 : 182,605.50 = 182,605.50 : x
2. Step 2: Convert to fraction form
   86,091/182,605.50 = 182,605.50/x
3. Step 3: Cross multiply
   86,091x = 182,605.50 × 182,605.50
4. Step 4: Simplify right side
   86,091x = 33,344,768,630.25
5. Step 5: Solve for x
   x = 33,344,768,630.25/86,091
6. Step 6: Final answer
   x = 387,320.03