Finding the Third Proportional to 150,932.25 and 314,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,932.25 : 314,266.50 = 314,266.50 : x
2. Step 2: Convert to fraction form
   150,932.25/314,266.50 = 314,266.50/x
3. Step 3: Cross multiply
   150,932.25x = 314,266.50 × 314,266.50
4. Step 4: Simplify right side
   150,932.25x = 98,763,433,022.25
5. Step 5: Solve for x
   x = 98,763,433,022.25/150,932.25
6. Step 6: Final answer
   x = 654,356.06