Finding the Third Proportional to 194,817 and 418,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,817 : 418,766.50 = 418,766.50 : x
2. Step 2: Convert to fraction form
   194,817/418,766.50 = 418,766.50/x
3. Step 3: Cross multiply
   194,817x = 418,766.50 × 418,766.50
4. Step 4: Simplify right side
   194,817x = 175,365,381,522.25
5. Step 5: Solve for x
   x = 175,365,381,522.25/194,817
6. Step 6: Final answer
   x = 900,154.41