Finding the Third Proportional to 253,806 and 401,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,806 : 401,602.50 = 401,602.50 : x
2. Step 2: Convert to fraction form
   253,806/401,602.50 = 401,602.50/x
3. Step 3: Cross multiply
   253,806x = 401,602.50 × 401,602.50
4. Step 4: Simplify right side
   253,806x = 161,284,568,006.25
5. Step 5: Solve for x
   x = 161,284,568,006.25/253,806
6. Step 6: Final answer
   x = 635,463.97