Finding the Third Proportional to 77,141 and 169,078

Step by Step Solution

1. Step 1: Write the proportion equation
   77,141 : 169,078 = 169,078 : x
2. Step 2: Convert to fraction form
   77,141/169,078 = 169,078/x
3. Step 3: Cross multiply
   77,141x = 169,078 × 169,078
4. Step 4: Simplify right side
   77,141x = 28,587,370,084
5. Step 5: Solve for x
   x = 28,587,370,084/77,141
6. Step 6: Final answer
   x = 370,585.94