Finding the Third Proportional to 261,810 and 403,012

Step by Step Solution

1. Step 1: Write the proportion equation
   261,810 : 403,012 = 403,012 : x
2. Step 2: Convert to fraction form
   261,810/403,012 = 403,012/x
3. Step 3: Cross multiply
   261,810x = 403,012 × 403,012
4. Step 4: Simplify right side
   261,810x = 162,418,672,144
5. Step 5: Solve for x
   x = 162,418,672,144/261,810
6. Step 6: Final answer
   x = 620,368.48