Finding the Third Proportional to 85,324 and 186,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,324 : 186,199.50 = 186,199.50 : x
2. Step 2: Convert to fraction form
   85,324/186,199.50 = 186,199.50/x
3. Step 3: Cross multiply
   85,324x = 186,199.50 × 186,199.50
4. Step 4: Simplify right side
   85,324x = 34,670,253,800.25
5. Step 5: Solve for x
   x = 34,670,253,800.25/85,324
6. Step 6: Final answer
   x = 406,336.48