Finding the Third Proportional to 194,433 and 278,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,433 : 278,035.50 = 278,035.50 : x
2. Step 2: Convert to fraction form
   194,433/278,035.50 = 278,035.50/x
3. Step 3: Cross multiply
   194,433x = 278,035.50 × 278,035.50
4. Step 4: Simplify right side
   194,433x = 77,303,739,260.25
5. Step 5: Solve for x
   x = 77,303,739,260.25/194,433
6. Step 6: Final answer
   x = 397,585.49