Finding the Third Proportional to 134,286 and 194,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,286 : 194,200.50 = 194,200.50 : x
2. Step 2: Convert to fraction form
   134,286/194,200.50 = 194,200.50/x
3. Step 3: Cross multiply
   134,286x = 194,200.50 × 194,200.50
4. Step 4: Simplify right side
   134,286x = 37,713,834,200.25
5. Step 5: Solve for x
   x = 37,713,834,200.25/134,286
6. Step 6: Final answer
   x = 280,847.10