Finding the Third Proportional to 201,769 and 282,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,769 : 282,773.50 = 282,773.50 : x
2. Step 2: Convert to fraction form
   201,769/282,773.50 = 282,773.50/x
3. Step 3: Cross multiply
   201,769x = 282,773.50 × 282,773.50
4. Step 4: Simplify right side
   201,769x = 79,960,852,302.25
5. Step 5: Solve for x
   x = 79,960,852,302.25/201,769
6. Step 6: Final answer
   x = 396,299.00