Finding the Third Proportional to 77,156 and 169,084

Step by Step Solution

1. Step 1: Write the proportion equation
   77,156 : 169,084 = 169,084 : x
2. Step 2: Convert to fraction form
   77,156/169,084 = 169,084/x
3. Step 3: Cross multiply
   77,156x = 169,084 × 169,084
4. Step 4: Simplify right side
   77,156x = 28,589,399,056
5. Step 5: Solve for x
   x = 28,589,399,056/77,156
6. Step 6: Final answer
   x = 370,540.19