Finding the Third Proportional to 59,188 and 128,820

Step by Step Solution

1. Step 1: Write the proportion equation
   59,188 : 128,820 = 128,820 : x
2. Step 2: Convert to fraction form
   59,188/128,820 = 128,820/x
3. Step 3: Cross multiply
   59,188x = 128,820 × 128,820
4. Step 4: Simplify right side
   59,188x = 16,594,592,400
5. Step 5: Solve for x
   x = 16,594,592,400/59,188
6. Step 6: Final answer
   x = 280,370.89