Finding the Third Proportional to 86,143.50 and 177,663.38

Step by Step Solution

1. Step 1: Write the proportion equation
   86,143.50 : 177,663.38 = 177,663.38 : x
2. Step 2: Convert to fraction form
   86,143.50/177,663.38 = 177,663.38/x
3. Step 3: Cross multiply
   86,143.50x = 177,663.38 × 177,663.38
4. Step 4: Simplify right side
   86,143.50x = 31,564,274,816.39
5. Step 5: Solve for x
   x = 31,564,274,816.39/86,143.50
6. Step 6: Final answer
   x = 366,415.05