Finding the Third Proportional to 194,946 and 418,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,946 : 418,900.50 = 418,900.50 : x
2. Step 2: Convert to fraction form
   194,946/418,900.50 = 418,900.50/x
3. Step 3: Cross multiply
   194,946x = 418,900.50 × 418,900.50
4. Step 4: Simplify right side
   194,946x = 175,477,628,900.25
5. Step 5: Solve for x
   x = 175,477,628,900.25/194,946
6. Step 6: Final answer
   x = 900,134.54