Finding the Third Proportional to 107,435.25 and 227,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,435.25 : 227,677.50 = 227,677.50 : x
2. Step 2: Convert to fraction form
   107,435.25/227,677.50 = 227,677.50/x
3. Step 3: Cross multiply
   107,435.25x = 227,677.50 × 227,677.50
4. Step 4: Simplify right side
   107,435.25x = 51,837,044,006.25
5. Step 5: Solve for x
   x = 51,837,044,006.25/107,435.25
6. Step 6: Final answer
   x = 482,495.68