Finding the Third Proportional to 187,665 and 276,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,665 : 276,532.50 = 276,532.50 : x
2. Step 2: Convert to fraction form
   187,665/276,532.50 = 276,532.50/x
3. Step 3: Cross multiply
   187,665x = 276,532.50 × 276,532.50
4. Step 4: Simplify right side
   187,665x = 76,470,223,556.25
5. Step 5: Solve for x
   x = 76,470,223,556.25/187,665
6. Step 6: Final answer
   x = 407,482.61