Finding the Third Proportional to 76,178 and 116,859

Step by Step Solution

1. Step 1: Write the proportion equation
   76,178 : 116,859 = 116,859 : x
2. Step 2: Convert to fraction form
   76,178/116,859 = 116,859/x
3. Step 3: Cross multiply
   76,178x = 116,859 × 116,859
4. Step 4: Simplify right side
   76,178x = 13,656,025,881
5. Step 5: Solve for x
   x = 13,656,025,881/76,178
6. Step 6: Final answer
   x = 179,264.69