Finding the Third Proportional to 376,525.50 and 827,442

Step by Step Solution

1. Step 1: Write the proportion equation
   376,525.50 : 827,442 = 827,442 : x
2. Step 2: Convert to fraction form
   376,525.50/827,442 = 827,442/x
3. Step 3: Cross multiply
   376,525.50x = 827,442 × 827,442
4. Step 4: Simplify right side
   376,525.50x = 684,660,263,364
5. Step 5: Solve for x
   x = 684,660,263,364/376,525.50
6. Step 6: Final answer
   x = 1,818,363.60