Finding the Third Proportional to 194,733 and 418,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,733 : 418,549.50 = 418,549.50 : x
2. Step 2: Convert to fraction form
   194,733/418,549.50 = 418,549.50/x
3. Step 3: Cross multiply
   194,733x = 418,549.50 × 418,549.50
4. Step 4: Simplify right side
   194,733x = 175,183,683,950.25
5. Step 5: Solve for x
   x = 175,183,683,950.25/194,733
6. Step 6: Final answer
   x = 899,609.64