Finding the Third Proportional to 77,684 and 170,002

Step by Step Solution

1. Step 1: Write the proportion equation
   77,684 : 170,002 = 170,002 : x
2. Step 2: Convert to fraction form
   77,684/170,002 = 170,002/x
3. Step 3: Cross multiply
   77,684x = 170,002 × 170,002
4. Step 4: Simplify right side
   77,684x = 28,900,680,004
5. Step 5: Solve for x
   x = 28,900,680,004/77,684
6. Step 6: Final answer
   x = 372,028.73