Finding the Third Proportional to 123,624 and 253,122

Step by Step Solution

1. Step 1: Write the proportion equation
   123,624 : 253,122 = 253,122 : x
2. Step 2: Convert to fraction form
   123,624/253,122 = 253,122/x
3. Step 3: Cross multiply
   123,624x = 253,122 × 253,122
4. Step 4: Simplify right side
   123,624x = 64,070,746,884
5. Step 5: Solve for x
   x = 64,070,746,884/123,624
6. Step 6: Final answer
   x = 518,271.10