Finding the Third Proportional to 89,946 and 128,139

Step by Step Solution

1. Step 1: Write the proportion equation
   89,946 : 128,139 = 128,139 : x
2. Step 2: Convert to fraction form
   89,946/128,139 = 128,139/x
3. Step 3: Cross multiply
   89,946x = 128,139 × 128,139
4. Step 4: Simplify right side
   89,946x = 16,419,603,321
5. Step 5: Solve for x
   x = 16,419,603,321/89,946
6. Step 6: Final answer
   x = 182,549.57