Finding the Third Proportional to 77,568 and 117,002

Step by Step Solution

1. Step 1: Write the proportion equation
   77,568 : 117,002 = 117,002 : x
2. Step 2: Convert to fraction form
   77,568/117,002 = 117,002/x
3. Step 3: Cross multiply
   77,568x = 117,002 × 117,002
4. Step 4: Simplify right side
   77,568x = 13,689,468,004
5. Step 5: Solve for x
   x = 13,689,468,004/77,568
6. Step 6: Final answer
   x = 176,483.45