Finding the Third Proportional to 59,191 and 139,707

Step by Step Solution

1. Step 1: Write the proportion equation
   59,191 : 139,707 = 139,707 : x
2. Step 2: Convert to fraction form
   59,191/139,707 = 139,707/x
3. Step 3: Cross multiply
   59,191x = 139,707 × 139,707
4. Step 4: Simplify right side
   59,191x = 19,518,045,849
5. Step 5: Solve for x
   x = 19,518,045,849/59,191
6. Step 6: Final answer
   x = 329,746.85