Finding the Third Proportional to 381,205 and 559,072.75

Step by Step Solution

1. Step 1: Write the proportion equation
   381,205 : 559,072.75 = 559,072.75 : x
2. Step 2: Convert to fraction form
   381,205/559,072.75 = 559,072.75/x
3. Step 3: Cross multiply
   381,205x = 559,072.75 × 559,072.75
4. Step 4: Simplify right side
   381,205x = 312,562,339,792.56
5. Step 5: Solve for x
   x = 312,562,339,792.56/381,205
6. Step 6: Final answer
   x = 819,932.42