Finding the Third Proportional to 194,634 and 418,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,634 : 418,369.50 = 418,369.50 : x
2. Step 2: Convert to fraction form
   194,634/418,369.50 = 418,369.50/x
3. Step 3: Cross multiply
   194,634x = 418,369.50 × 418,369.50
4. Step 4: Simplify right side
   194,634x = 175,033,038,530.25
5. Step 5: Solve for x
   x = 175,033,038,530.25/194,634
6. Step 6: Final answer
   x = 899,293.23