Finding the Third Proportional to 253,735.50 and 377,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,735.50 : 377,869.50 = 377,869.50 : x
2. Step 2: Convert to fraction form
   253,735.50/377,869.50 = 377,869.50/x
3. Step 3: Cross multiply
   253,735.50x = 377,869.50 × 377,869.50
4. Step 4: Simplify right side
   253,735.50x = 142,785,359,030.25
5. Step 5: Solve for x
   x = 142,785,359,030.25/253,735.50
6. Step 6: Final answer
   x = 562,733.08