Finding the Third Proportional to 138,411.75 and 301,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,411.75 : 301,837.50 = 301,837.50 : x
2. Step 2: Convert to fraction form
   138,411.75/301,837.50 = 301,837.50/x
3. Step 3: Cross multiply
   138,411.75x = 301,837.50 × 301,837.50
4. Step 4: Simplify right side
   138,411.75x = 91,105,876,406.25
5. Step 5: Solve for x
   x = 91,105,876,406.25/138,411.75
6. Step 6: Final answer
   x = 658,223.57