Finding the Third Proportional to 521,814 and 830,064

Step by Step Solution

1. Step 1: Write the proportion equation
   521,814 : 830,064 = 830,064 : x
2. Step 2: Convert to fraction form
   521,814/830,064 = 830,064/x
3. Step 3: Cross multiply
   521,814x = 830,064 × 830,064
4. Step 4: Simplify right side
   521,814x = 689,006,244,096
5. Step 5: Solve for x
   x = 689,006,244,096/521,814
6. Step 6: Final answer
   x = 1,320,405.82