Finding the Third Proportional to 150,801.75 and 314,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,801.75 : 314,008.50 = 314,008.50 : x
2. Step 2: Convert to fraction form
   150,801.75/314,008.50 = 314,008.50/x
3. Step 3: Cross multiply
   150,801.75x = 314,008.50 × 314,008.50
4. Step 4: Simplify right side
   150,801.75x = 98,601,338,072.25
5. Step 5: Solve for x
   x = 98,601,338,072.25/150,801.75
6. Step 6: Final answer
   x = 653,847.44