Finding the Third Proportional to 185,960.25 and 402,822

Step by Step Solution

1. Step 1: Write the proportion equation
   185,960.25 : 402,822 = 402,822 : x
2. Step 2: Convert to fraction form
   185,960.25/402,822 = 402,822/x
3. Step 3: Cross multiply
   185,960.25x = 402,822 × 402,822
4. Step 4: Simplify right side
   185,960.25x = 162,265,563,684
5. Step 5: Solve for x
   x = 162,265,563,684/185,960.25
6. Step 6: Final answer
   x = 872,581.98