Finding the Third Proportional to 132,166 and 188,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,166 : 188,407.50 = 188,407.50 : x
2. Step 2: Convert to fraction form
   132,166/188,407.50 = 188,407.50/x
3. Step 3: Cross multiply
   132,166x = 188,407.50 × 188,407.50
4. Step 4: Simplify right side
   132,166x = 35,497,386,056.25
5. Step 5: Solve for x
   x = 35,497,386,056.25/132,166
6. Step 6: Final answer
   x = 268,581.83