Finding the Third Proportional to 375,078.38 and 535,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   375,078.38 : 535,978.13 = 535,978.13 : x
2. Step 2: Convert to fraction form
   375,078.38/535,978.13 = 535,978.13/x
3. Step 3: Cross multiply
   375,078.38x = 535,978.13 × 535,978.13
4. Step 4: Simplify right side
   375,078.38x = 287,272,550,478.52
5. Step 5: Solve for x
   x = 287,272,550,478.52/375,078.38
6. Step 6: Final answer
   x = 765,900.06