Finding the Third Proportional to 92,419 and 189,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,419 : 189,209.50 = 189,209.50 : x
2. Step 2: Convert to fraction form
   92,419/189,209.50 = 189,209.50/x
3. Step 3: Cross multiply
   92,419x = 189,209.50 × 189,209.50
4. Step 4: Simplify right side
   92,419x = 35,800,234,890.25
5. Step 5: Solve for x
   x = 35,800,234,890.25/92,419
6. Step 6: Final answer
   x = 387,368.78