Finding the Third Proportional to 141,077.25 and 301,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,077.25 : 301,567.50 = 301,567.50 : x
2. Step 2: Convert to fraction form
   141,077.25/301,567.50 = 301,567.50/x
3. Step 3: Cross multiply
   141,077.25x = 301,567.50 × 301,567.50
4. Step 4: Simplify right side
   141,077.25x = 90,942,957,056.25
5. Step 5: Solve for x
   x = 90,942,957,056.25/141,077.25
6. Step 6: Final answer
   x = 644,632.33