Finding the Third Proportional to 523,404 and 830,145

Step by Step Solution

1. Step 1: Write the proportion equation
   523,404 : 830,145 = 830,145 : x
2. Step 2: Convert to fraction form
   523,404/830,145 = 830,145/x
3. Step 3: Cross multiply
   523,404x = 830,145 × 830,145
4. Step 4: Simplify right side
   523,404x = 689,140,721,025
5. Step 5: Solve for x
   x = 689,140,721,025/523,404
6. Step 6: Final answer
   x = 1,316,651.61