Finding the Third Proportional to 107,738 and 185,260

Step by Step Solution

1. Step 1: Write the proportion equation
   107,738 : 185,260 = 185,260 : x
2. Step 2: Convert to fraction form
   107,738/185,260 = 185,260/x
3. Step 3: Cross multiply
   107,738x = 185,260 × 185,260
4. Step 4: Simplify right side
   107,738x = 34,321,267,600
5. Step 5: Solve for x
   x = 34,321,267,600/107,738
6. Step 6: Final answer
   x = 318,562.32