Finding the Third Proportional to 92,178 and 137,682

Step by Step Solution

1. Step 1: Write the proportion equation
   92,178 : 137,682 = 137,682 : x
2. Step 2: Convert to fraction form
   92,178/137,682 = 137,682/x
3. Step 3: Cross multiply
   92,178x = 137,682 × 137,682
4. Step 4: Simplify right side
   92,178x = 18,956,333,124
5. Step 5: Solve for x
   x = 18,956,333,124/92,178
6. Step 6: Final answer
   x = 205,649.21