Finding the Third Proportional to 233,227 and 368,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,227 : 368,722.50 = 368,722.50 : x
2. Step 2: Convert to fraction form
   233,227/368,722.50 = 368,722.50/x
3. Step 3: Cross multiply
   233,227x = 368,722.50 × 368,722.50
4. Step 4: Simplify right side
   233,227x = 135,956,282,006.25
5. Step 5: Solve for x
   x = 135,956,282,006.25/233,227
6. Step 6: Final answer
   x = 582,935.43