Finding the Third Proportional to 94,914 and 194,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,914 : 194,566.50 = 194,566.50 : x
2. Step 2: Convert to fraction form
   94,914/194,566.50 = 194,566.50/x
3. Step 3: Cross multiply
   94,914x = 194,566.50 × 194,566.50
4. Step 4: Simplify right side
   94,914x = 37,856,122,922.25
5. Step 5: Solve for x
   x = 37,856,122,922.25/94,914
6. Step 6: Final answer
   x = 398,846.57