Finding the Third Proportional to 86,938 and 185,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,938 : 185,359.50 = 185,359.50 : x
2. Step 2: Convert to fraction form
   86,938/185,359.50 = 185,359.50/x
3. Step 3: Cross multiply
   86,938x = 185,359.50 × 185,359.50
4. Step 4: Simplify right side
   86,938x = 34,358,144,240.25
5. Step 5: Solve for x
   x = 34,358,144,240.25/86,938
6. Step 6: Final answer
   x = 395,202.84