Finding the Third Proportional to 354,726 and 535,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,726 : 535,774.50 = 535,774.50 : x
2. Step 2: Convert to fraction form
   354,726/535,774.50 = 535,774.50/x
3. Step 3: Cross multiply
   354,726x = 535,774.50 × 535,774.50
4. Step 4: Simplify right side
   354,726x = 287,054,314,850.25
5. Step 5: Solve for x
   x = 287,054,314,850.25/354,726
6. Step 6: Final answer
   x = 809,228.29