Finding the Third Proportional to 375,688 and 814,008

Step by Step Solution

1. Step 1: Write the proportion equation
   375,688 : 814,008 = 814,008 : x
2. Step 2: Convert to fraction form
   375,688/814,008 = 814,008/x
3. Step 3: Cross multiply
   375,688x = 814,008 × 814,008
4. Step 4: Simplify right side
   375,688x = 662,609,024,064
5. Step 5: Solve for x
   x = 662,609,024,064/375,688
6. Step 6: Final answer
   x = 1,763,721.56