Finding the Third Proportional to 107,013 and 253,074

Step by Step Solution

1. Step 1: Write the proportion equation
   107,013 : 253,074 = 253,074 : x
2. Step 2: Convert to fraction form
   107,013/253,074 = 253,074/x
3. Step 3: Cross multiply
   107,013x = 253,074 × 253,074
4. Step 4: Simplify right side
   107,013x = 64,046,449,476
5. Step 5: Solve for x
   x = 64,046,449,476/107,013
6. Step 6: Final answer
   x = 598,492.23