Finding the Third Proportional to 123,770 and 298,064

Step by Step Solution

1. Step 1: Write the proportion equation
   123,770 : 298,064 = 298,064 : x
2. Step 2: Convert to fraction form
   123,770/298,064 = 298,064/x
3. Step 3: Cross multiply
   123,770x = 298,064 × 298,064
4. Step 4: Simplify right side
   123,770x = 88,842,148,096
5. Step 5: Solve for x
   x = 88,842,148,096/123,770
6. Step 6: Final answer
   x = 717,800.34