Finding the Third Proportional to 354,768 and 535,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,768 : 535,837.50 = 535,837.50 : x
2. Step 2: Convert to fraction form
   354,768/535,837.50 = 535,837.50/x
3. Step 3: Cross multiply
   354,768x = 535,837.50 × 535,837.50
4. Step 4: Simplify right side
   354,768x = 287,121,826,406.25
5. Step 5: Solve for x
   x = 287,121,826,406.25/354,768
6. Step 6: Final answer
   x = 809,322.79