Finding the Third Proportional to 59,738 and 81,178

Step by Step Solution

1. Step 1: Write the proportion equation
   59,738 : 81,178 = 81,178 : x
2. Step 2: Convert to fraction form
   59,738/81,178 = 81,178/x
3. Step 3: Cross multiply
   59,738x = 81,178 × 81,178
4. Step 4: Simplify right side
   59,738x = 6,589,867,684
5. Step 5: Solve for x
   x = 6,589,867,684/59,738
6. Step 6: Final answer
   x = 110,312.83