Finding the Third Proportional to 85,861.50 and 186,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,861.50 : 186,499.50 = 186,499.50 : x
2. Step 2: Convert to fraction form
   85,861.50/186,499.50 = 186,499.50/x
3. Step 3: Cross multiply
   85,861.50x = 186,499.50 × 186,499.50
4. Step 4: Simplify right side
   85,861.50x = 34,782,063,500.25
5. Step 5: Solve for x
   x = 34,782,063,500.25/85,861.50
6. Step 6: Final answer
   x = 405,094.99