Finding the Third Proportional to 178,320 and 371,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,320 : 371,584.50 = 371,584.50 : x
2. Step 2: Convert to fraction form
   178,320/371,584.50 = 371,584.50/x
3. Step 3: Cross multiply
   178,320x = 371,584.50 × 371,584.50
4. Step 4: Simplify right side
   178,320x = 138,075,040,640.25
5. Step 5: Solve for x
   x = 138,075,040,640.25/178,320
6. Step 6: Final answer
   x = 774,310.46