Finding the Third Proportional to 59,166 and 128,178

Step by Step Solution

1. Step 1: Write the proportion equation
   59,166 : 128,178 = 128,178 : x
2. Step 2: Convert to fraction form
   59,166/128,178 = 128,178/x
3. Step 3: Cross multiply
   59,166x = 128,178 × 128,178
4. Step 4: Simplify right side
   59,166x = 16,429,599,684
5. Step 5: Solve for x
   x = 16,429,599,684/59,166
6. Step 6: Final answer
   x = 277,686.50