Finding the Third Proportional to 59,544 and 92,158

Step by Step Solution

1. Step 1: Write the proportion equation
   59,544 : 92,158 = 92,158 : x
2. Step 2: Convert to fraction form
   59,544/92,158 = 92,158/x
3. Step 3: Cross multiply
   59,544x = 92,158 × 92,158
4. Step 4: Simplify right side
   59,544x = 8,493,096,964
5. Step 5: Solve for x
   x = 8,493,096,964/59,544
6. Step 6: Final answer
   x = 142,635.65