Finding the Third Proportional to 510,438 and 760,680

Step by Step Solution

1. Step 1: Write the proportion equation
   510,438 : 760,680 = 760,680 : x
2. Step 2: Convert to fraction form
   510,438/760,680 = 760,680/x
3. Step 3: Cross multiply
   510,438x = 760,680 × 760,680
4. Step 4: Simplify right side
   510,438x = 578,634,062,400
5. Step 5: Solve for x
   x = 578,634,062,400/510,438
6. Step 6: Final answer
   x = 1,133,603.03