Finding the Third Proportional to 535,635 and 830,061

Step by Step Solution

1. Step 1: Write the proportion equation
   535,635 : 830,061 = 830,061 : x
2. Step 2: Convert to fraction form
   535,635/830,061 = 830,061/x
3. Step 3: Cross multiply
   535,635x = 830,061 × 830,061
4. Step 4: Simplify right side
   535,635x = 689,001,263,721
5. Step 5: Solve for x
   x = 689,001,263,721/535,635
6. Step 6: Final answer
   x = 1,286,326.07