Finding the Third Proportional to 363,083 and 542,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,083 : 542,437.50 = 542,437.50 : x
2. Step 2: Convert to fraction form
   363,083/542,437.50 = 542,437.50/x
3. Step 3: Cross multiply
   363,083x = 542,437.50 × 542,437.50
4. Step 4: Simplify right side
   363,083x = 294,238,441,406.25
5. Step 5: Solve for x
   x = 294,238,441,406.25/363,083
6. Step 6: Final answer
   x = 810,388.92