Finding the Third Proportional to 375,178 and 821,510

Step by Step Solution

1. Step 1: Write the proportion equation
   375,178 : 821,510 = 821,510 : x
2. Step 2: Convert to fraction form
   375,178/821,510 = 821,510/x
3. Step 3: Cross multiply
   375,178x = 821,510 × 821,510
4. Step 4: Simplify right side
   375,178x = 674,878,680,100
5. Step 5: Solve for x
   x = 674,878,680,100/375,178
6. Step 6: Final answer
   x = 1,798,822.64