Finding the Third Proportional to 134,910 and 194,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,910 : 194,905.50 = 194,905.50 : x
2. Step 2: Convert to fraction form
   134,910/194,905.50 = 194,905.50/x
3. Step 3: Cross multiply
   134,910x = 194,905.50 × 194,905.50
4. Step 4: Simplify right side
   134,910x = 37,988,153,930.25
5. Step 5: Solve for x
   x = 37,988,153,930.25/134,910
6. Step 6: Final answer
   x = 281,581.45