Finding the Third Proportional to 350,928 and 524,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   350,928 : 524,053.50 = 524,053.50 : x
2. Step 2: Convert to fraction form
   350,928/524,053.50 = 524,053.50/x
3. Step 3: Cross multiply
   350,928x = 524,053.50 × 524,053.50
4. Step 4: Simplify right side
   350,928x = 274,632,070,862.25
5. Step 5: Solve for x
   x = 274,632,070,862.25/350,928
6. Step 6: Final answer
   x = 782,588.08