Finding the Third Proportional to 137,586 and 321,099

Step by Step Solution

1. Step 1: Write the proportion equation
   137,586 : 321,099 = 321,099 : x
2. Step 2: Convert to fraction form
   137,586/321,099 = 321,099/x
3. Step 3: Cross multiply
   137,586x = 321,099 × 321,099
4. Step 4: Simplify right side
   137,586x = 103,104,567,801
5. Step 5: Solve for x
   x = 103,104,567,801/137,586
6. Step 6: Final answer
   x = 749,382.70