Finding the Third Proportional to 31,178 and 68,314

Step by Step Solution

1. Step 1: Write the proportion equation
   31,178 : 68,314 = 68,314 : x
2. Step 2: Convert to fraction form
   31,178/68,314 = 68,314/x
3. Step 3: Cross multiply
   31,178x = 68,314 × 68,314
4. Step 4: Simplify right side
   31,178x = 4,666,802,596
5. Step 5: Solve for x
   x = 4,666,802,596/31,178
6. Step 6: Final answer
   x = 149,682.55