Finding the Third Proportional to 134,376 and 194,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,376 : 194,245.50 = 194,245.50 : x
2. Step 2: Convert to fraction form
   134,376/194,245.50 = 194,245.50/x
3. Step 3: Cross multiply
   134,376x = 194,245.50 × 194,245.50
4. Step 4: Simplify right side
   134,376x = 37,731,314,270.25
5. Step 5: Solve for x
   x = 37,731,314,270.25/134,376
6. Step 6: Final answer
   x = 280,789.09