Finding the Third Proportional to 523,384 and 830,100

Step by Step Solution

1. Step 1: Write the proportion equation
   523,384 : 830,100 = 830,100 : x
2. Step 2: Convert to fraction form
   523,384/830,100 = 830,100/x
3. Step 3: Cross multiply
   523,384x = 830,100 × 830,100
4. Step 4: Simplify right side
   523,384x = 689,066,010,000
5. Step 5: Solve for x
   x = 689,066,010,000/523,384
6. Step 6: Final answer
   x = 1,316,559.18