Finding the Third Proportional to 186,270 and 295,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,270 : 295,078.50 = 295,078.50 : x
2. Step 2: Convert to fraction form
   186,270/295,078.50 = 295,078.50/x
3. Step 3: Cross multiply
   186,270x = 295,078.50 × 295,078.50
4. Step 4: Simplify right side
   186,270x = 87,071,321,162.25
5. Step 5: Solve for x
   x = 87,071,321,162.25/186,270
6. Step 6: Final answer
   x = 467,446.83