Finding the Third Proportional to 225,969.75 and 309,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,969.75 : 309,856.50 = 309,856.50 : x
2. Step 2: Convert to fraction form
   225,969.75/309,856.50 = 309,856.50/x
3. Step 3: Cross multiply
   225,969.75x = 309,856.50 × 309,856.50
4. Step 4: Simplify right side
   225,969.75x = 96,011,050,592.25
5. Step 5: Solve for x
   x = 96,011,050,592.25/225,969.75
6. Step 6: Final answer
   x = 424,884.53