Finding the Third Proportional to 107,014 and 253,077

Step by Step Solution

1. Step 1: Write the proportion equation
   107,014 : 253,077 = 253,077 : x
2. Step 2: Convert to fraction form
   107,014/253,077 = 253,077/x
3. Step 3: Cross multiply
   107,014x = 253,077 × 253,077
4. Step 4: Simplify right side
   107,014x = 64,047,967,929
5. Step 5: Solve for x
   x = 64,047,967,929/107,014
6. Step 6: Final answer
   x = 598,500.83