Finding the Third Proportional to 231,036 and 289,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,036 : 289,204.50 = 289,204.50 : x
2. Step 2: Convert to fraction form
   231,036/289,204.50 = 289,204.50/x
3. Step 3: Cross multiply
   231,036x = 289,204.50 × 289,204.50
4. Step 4: Simplify right side
   231,036x = 83,639,242,820.25
5. Step 5: Solve for x
   x = 83,639,242,820.25/231,036
6. Step 6: Final answer
   x = 362,018.23