Finding the Third Proportional to 123,762 and 254,082

Step by Step Solution

1. Step 1: Write the proportion equation
   123,762 : 254,082 = 254,082 : x
2. Step 2: Convert to fraction form
   123,762/254,082 = 254,082/x
3. Step 3: Cross multiply
   123,762x = 254,082 × 254,082
4. Step 4: Simplify right side
   123,762x = 64,557,662,724
5. Step 5: Solve for x
   x = 64,557,662,724/123,762
6. Step 6: Final answer
   x = 521,627.50