Finding the Third Proportional to 201,216 and 272,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,216 : 272,299.50 = 272,299.50 : x
2. Step 2: Convert to fraction form
   201,216/272,299.50 = 272,299.50/x
3. Step 3: Cross multiply
   201,216x = 272,299.50 × 272,299.50
4. Step 4: Simplify right side
   201,216x = 74,147,017,700.25
5. Step 5: Solve for x
   x = 74,147,017,700.25/201,216
6. Step 6: Final answer
   x = 368,494.64