Finding the Third Proportional to 134,497 and 188,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,497 : 188,494.50 = 188,494.50 : x
2. Step 2: Convert to fraction form
   134,497/188,494.50 = 188,494.50/x
3. Step 3: Cross multiply
   134,497x = 188,494.50 × 188,494.50
4. Step 4: Simplify right side
   134,497x = 35,530,176,530.25
5. Step 5: Solve for x
   x = 35,530,176,530.25/134,497
6. Step 6: Final answer
   x = 264,170.77