Finding the Third Proportional to 132,297 and 188,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,297 : 188,605.50 = 188,605.50 : x
2. Step 2: Convert to fraction form
   132,297/188,605.50 = 188,605.50/x
3. Step 3: Cross multiply
   132,297x = 188,605.50 × 188,605.50
4. Step 4: Simplify right side
   132,297x = 35,572,034,630.25
5. Step 5: Solve for x
   x = 35,572,034,630.25/132,297
6. Step 6: Final answer
   x = 268,880.13