Finding the Third Proportional to 132,144 and 188,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,144 : 188,374.50 = 188,374.50 : x
2. Step 2: Convert to fraction form
   132,144/188,374.50 = 188,374.50/x
3. Step 3: Cross multiply
   132,144x = 188,374.50 × 188,374.50
4. Step 4: Simplify right side
   132,144x = 35,484,952,250.25
5. Step 5: Solve for x
   x = 35,484,952,250.25/132,144
6. Step 6: Final answer
   x = 268,532.45