Finding the Third Proportional to 84,682.50 and 186,642

Step by Step Solution

1. Step 1: Write the proportion equation
   84,682.50 : 186,642 = 186,642 : x
2. Step 2: Convert to fraction form
   84,682.50/186,642 = 186,642/x
3. Step 3: Cross multiply
   84,682.50x = 186,642 × 186,642
4. Step 4: Simplify right side
   84,682.50x = 34,835,236,164
5. Step 5: Solve for x
   x = 34,835,236,164/84,682.50
6. Step 6: Final answer
   x = 411,362.87