Finding the Third Proportional to 137,918.25 and 301,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,918.25 : 301,675.50 = 301,675.50 : x
2. Step 2: Convert to fraction form
   137,918.25/301,675.50 = 301,675.50/x
3. Step 3: Cross multiply
   137,918.25x = 301,675.50 × 301,675.50
4. Step 4: Simplify right side
   137,918.25x = 91,008,107,300.25
5. Step 5: Solve for x
   x = 91,008,107,300.25/137,918.25
6. Step 6: Final answer
   x = 659,869.94