Finding the Third Proportional to 407,017.50 and 825,117

Step by Step Solution

1. Step 1: Write the proportion equation
   407,017.50 : 825,117 = 825,117 : x
2. Step 2: Convert to fraction form
   407,017.50/825,117 = 825,117/x
3. Step 3: Cross multiply
   407,017.50x = 825,117 × 825,117
4. Step 4: Simplify right side
   407,017.50x = 680,818,063,689
5. Step 5: Solve for x
   x = 680,818,063,689/407,017.50
6. Step 6: Final answer
   x = 1,672,699.73