Finding the Third Proportional to 253,047.50 and 382,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,047.50 : 382,185.50 = 382,185.50 : x
2. Step 2: Convert to fraction form
   253,047.50/382,185.50 = 382,185.50/x
3. Step 3: Cross multiply
   253,047.50x = 382,185.50 × 382,185.50
4. Step 4: Simplify right side
   253,047.50x = 146,065,756,410.25
5. Step 5: Solve for x
   x = 146,065,756,410.25/253,047.50
6. Step 6: Final answer
   x = 577,226.63