Finding the Third Proportional to 138,760 and 298,584

Step by Step Solution

1. Step 1: Write the proportion equation
   138,760 : 298,584 = 298,584 : x
2. Step 2: Convert to fraction form
   138,760/298,584 = 298,584/x
3. Step 3: Cross multiply
   138,760x = 298,584 × 298,584
4. Step 4: Simplify right side
   138,760x = 89,152,405,056
5. Step 5: Solve for x
   x = 89,152,405,056/138,760
6. Step 6: Final answer
   x = 642,493.55