Finding the Third Proportional to 201,770 and 282,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,770 : 282,774.50 = 282,774.50 : x
2. Step 2: Convert to fraction form
   201,770/282,774.50 = 282,774.50/x
3. Step 3: Cross multiply
   201,770x = 282,774.50 × 282,774.50
4. Step 4: Simplify right side
   201,770x = 79,961,417,850.25
5. Step 5: Solve for x
   x = 79,961,417,850.25/201,770
6. Step 6: Final answer
   x = 396,299.84