Finding the Third Proportional to 378,301.50 and 562,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,301.50 : 562,092.50 = 562,092.50 : x
2. Step 2: Convert to fraction form
   378,301.50/562,092.50 = 562,092.50/x
3. Step 3: Cross multiply
   378,301.50x = 562,092.50 × 562,092.50
4. Step 4: Simplify right side
   378,301.50x = 315,947,978,556.25
5. Step 5: Solve for x
   x = 315,947,978,556.25/378,301.50
6. Step 6: Final answer
   x = 835,175.06