Finding the Third Proportional to 523,323 and 830,020

Step by Step Solution

1. Step 1: Write the proportion equation
   523,323 : 830,020 = 830,020 : x
2. Step 2: Convert to fraction form
   523,323/830,020 = 830,020/x
3. Step 3: Cross multiply
   523,323x = 830,020 × 830,020
4. Step 4: Simplify right side
   523,323x = 688,933,200,400
5. Step 5: Solve for x
   x = 688,933,200,400/523,323
6. Step 6: Final answer
   x = 1,316,458.86