Finding the Third Proportional to 134,921 and 194,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,921 : 194,920.50 = 194,920.50 : x
2. Step 2: Convert to fraction form
   134,921/194,920.50 = 194,920.50/x
3. Step 3: Cross multiply
   134,921x = 194,920.50 × 194,920.50
4. Step 4: Simplify right side
   134,921x = 37,994,001,320.25
5. Step 5: Solve for x
   x = 37,994,001,320.25/134,921
6. Step 6: Final answer
   x = 281,601.84