Finding the Third Proportional to 253,270 and 401,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,270 : 401,047.50 = 401,047.50 : x
2. Step 2: Convert to fraction form
   253,270/401,047.50 = 401,047.50/x
3. Step 3: Cross multiply
   253,270x = 401,047.50 × 401,047.50
4. Step 4: Simplify right side
   253,270x = 160,839,097,256.25
5. Step 5: Solve for x
   x = 160,839,097,256.25/253,270
6. Step 6: Final answer
   x = 635,049.94