Finding the Third Proportional to 134,854 and 194,251.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,854 : 194,251.50 = 194,251.50 : x
2. Step 2: Convert to fraction form
   134,854/194,251.50 = 194,251.50/x
3. Step 3: Cross multiply
   134,854x = 194,251.50 × 194,251.50
4. Step 4: Simplify right side
   134,854x = 37,733,645,252.25
5. Step 5: Solve for x
   x = 37,733,645,252.25/134,854
6. Step 6: Final answer
   x = 279,811.09