Finding the Third Proportional to 376,516.50 and 827,424

Step by Step Solution

1. Step 1: Write the proportion equation
   376,516.50 : 827,424 = 827,424 : x
2. Step 2: Convert to fraction form
   376,516.50/827,424 = 827,424/x
3. Step 3: Cross multiply
   376,516.50x = 827,424 × 827,424
4. Step 4: Simplify right side
   376,516.50x = 684,630,475,776
5. Step 5: Solve for x
   x = 684,630,475,776/376,516.50
6. Step 6: Final answer
   x = 1,818,327.95