Finding the Third Proportional to 89,972 and 128,166

Step by Step Solution

1. Step 1: Write the proportion equation
   89,972 : 128,166 = 128,166 : x
2. Step 2: Convert to fraction form
   89,972/128,166 = 128,166/x
3. Step 3: Cross multiply
   89,972x = 128,166 × 128,166
4. Step 4: Simplify right side
   89,972x = 16,426,523,556
5. Step 5: Solve for x
   x = 16,426,523,556/89,972
6. Step 6: Final answer
   x = 182,573.73