Finding the Third Proportional to 407,013.75 and 825,111

Step by Step Solution

1. Step 1: Write the proportion equation
   407,013.75 : 825,111 = 825,111 : x
2. Step 2: Convert to fraction form
   407,013.75/825,111 = 825,111/x
3. Step 3: Cross multiply
   407,013.75x = 825,111 × 825,111
4. Step 4: Simplify right side
   407,013.75x = 680,808,162,321
5. Step 5: Solve for x
   x = 680,808,162,321/407,013.75
6. Step 6: Final answer
   x = 1,672,690.82