Finding the Third Proportional to 59,114 and 128,070

Step by Step Solution

1. Step 1: Write the proportion equation
   59,114 : 128,070 = 128,070 : x
2. Step 2: Convert to fraction form
   59,114/128,070 = 128,070/x
3. Step 3: Cross multiply
   59,114x = 128,070 × 128,070
4. Step 4: Simplify right side
   59,114x = 16,401,924,900
5. Step 5: Solve for x
   x = 16,401,924,900/59,114
6. Step 6: Final answer
   x = 277,462.61