Finding the Third Proportional to 123,626 and 253,126

Step by Step Solution

1. Step 1: Write the proportion equation
   123,626 : 253,126 = 253,126 : x
2. Step 2: Convert to fraction form
   123,626/253,126 = 253,126/x
3. Step 3: Cross multiply
   123,626x = 253,126 × 253,126
4. Step 4: Simplify right side
   123,626x = 64,072,771,876
5. Step 5: Solve for x
   x = 64,072,771,876/123,626
6. Step 6: Final answer
   x = 518,279.10