Finding the Third Proportional to 127,314 and 280,052

Step by Step Solution

1. Step 1: Write the proportion equation
   127,314 : 280,052 = 280,052 : x
2. Step 2: Convert to fraction form
   127,314/280,052 = 280,052/x
3. Step 3: Cross multiply
   127,314x = 280,052 × 280,052
4. Step 4: Simplify right side
   127,314x = 78,429,122,704
5. Step 5: Solve for x
   x = 78,429,122,704/127,314
6. Step 6: Final answer
   x = 616,029.05