Finding the Third Proportional to 178,317 and 371,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,317 : 371,578.50 = 371,578.50 : x
2. Step 2: Convert to fraction form
   178,317/371,578.50 = 371,578.50/x
3. Step 3: Cross multiply
   178,317x = 371,578.50 × 371,578.50
4. Step 4: Simplify right side
   178,317x = 138,070,581,662.25
5. Step 5: Solve for x
   x = 138,070,581,662.25/178,317
6. Step 6: Final answer
   x = 774,298.48