Finding the Third Proportional to 138,410.25 and 301,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,410.25 : 301,834.50 = 301,834.50 : x
2. Step 2: Convert to fraction form
   138,410.25/301,834.50 = 301,834.50/x
3. Step 3: Cross multiply
   138,410.25x = 301,834.50 × 301,834.50
4. Step 4: Simplify right side
   138,410.25x = 91,104,065,390.25
5. Step 5: Solve for x
   x = 91,104,065,390.25/138,410.25
6. Step 6: Final answer
   x = 658,217.62