Finding the Third Proportional to 265,726 and 403,510

Step by Step Solution

1. Step 1: Write the proportion equation
   265,726 : 403,510 = 403,510 : x
2. Step 2: Convert to fraction form
   265,726/403,510 = 403,510/x
3. Step 3: Cross multiply
   265,726x = 403,510 × 403,510
4. Step 4: Simplify right side
   265,726x = 162,820,320,100
5. Step 5: Solve for x
   x = 162,820,320,100/265,726
6. Step 6: Final answer
   x = 612,737.63