Finding the Third Proportional to 174,290.50 and 377,888

Step by Step Solution

1. Step 1: Write the proportion equation
   174,290.50 : 377,888 = 377,888 : x
2. Step 2: Convert to fraction form
   174,290.50/377,888 = 377,888/x
3. Step 3: Cross multiply
   174,290.50x = 377,888 × 377,888
4. Step 4: Simplify right side
   174,290.50x = 142,799,340,544
5. Step 5: Solve for x
   x = 142,799,340,544/174,290.50
6. Step 6: Final answer
   x = 819,317.98