Finding the Third Proportional to 89,401 and 186,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,401 : 186,150.50 = 186,150.50 : x
2. Step 2: Convert to fraction form
   89,401/186,150.50 = 186,150.50/x
3. Step 3: Cross multiply
   89,401x = 186,150.50 × 186,150.50
4. Step 4: Simplify right side
   89,401x = 34,652,008,650.25
5. Step 5: Solve for x
   x = 34,652,008,650.25/89,401
6. Step 6: Final answer
   x = 387,602.03