Finding the Third Proportional to 85,871.25 and 186,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,871.25 : 186,997.50 = 186,997.50 : x
2. Step 2: Convert to fraction form
   85,871.25/186,997.50 = 186,997.50/x
3. Step 3: Cross multiply
   85,871.25x = 186,997.50 × 186,997.50
4. Step 4: Simplify right side
   85,871.25x = 34,968,065,006.25
5. Step 5: Solve for x
   x = 34,968,065,006.25/85,871.25
6. Step 6: Final answer
   x = 407,215.05