Finding the Third Proportional to 138,303.25 and 301,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,303.25 : 301,740.50 = 301,740.50 : x
2. Step 2: Convert to fraction form
   138,303.25/301,740.50 = 301,740.50/x
3. Step 3: Cross multiply
   138,303.25x = 301,740.50 × 301,740.50
4. Step 4: Simplify right side
   138,303.25x = 91,047,329,340.25
5. Step 5: Solve for x
   x = 91,047,329,340.25/138,303.25
6. Step 6: Final answer
   x = 658,316.63