Finding the Third Proportional to 85,873 and 186,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,873 : 186,039.50 = 186,039.50 : x
2. Step 2: Convert to fraction form
   85,873/186,039.50 = 186,039.50/x
3. Step 3: Cross multiply
   85,873x = 186,039.50 × 186,039.50
4. Step 4: Simplify right side
   85,873x = 34,610,695,560.25
5. Step 5: Solve for x
   x = 34,610,695,560.25/85,873
6. Step 6: Final answer
   x = 403,045.14