Finding the Third Proportional to 86,238 and 187,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,238 : 187,663.50 = 187,663.50 : x
2. Step 2: Convert to fraction form
   86,238/187,663.50 = 187,663.50/x
3. Step 3: Cross multiply
   86,238x = 187,663.50 × 187,663.50
4. Step 4: Simplify right side
   86,238x = 35,217,589,232.25
5. Step 5: Solve for x
   x = 35,217,589,232.25/86,238
6. Step 6: Final answer
   x = 408,376.69