Finding the Third Proportional to 109,400 and 139,778

Step by Step Solution

1. Step 1: Write the proportion equation
   109,400 : 139,778 = 139,778 : x
2. Step 2: Convert to fraction form
   109,400/139,778 = 139,778/x
3. Step 3: Cross multiply
   109,400x = 139,778 × 139,778
4. Step 4: Simplify right side
   109,400x = 19,537,889,284
5. Step 5: Solve for x
   x = 19,537,889,284/109,400
6. Step 6: Final answer
   x = 178,591.31