Finding the Third Proportional to 119,623 and 259,064

Step by Step Solution

1. Step 1: Write the proportion equation
   119,623 : 259,064 = 259,064 : x
2. Step 2: Convert to fraction form
   119,623/259,064 = 259,064/x
3. Step 3: Cross multiply
   119,623x = 259,064 × 259,064
4. Step 4: Simplify right side
   119,623x = 67,114,156,096
5. Step 5: Solve for x
   x = 67,114,156,096/119,623
6. Step 6: Final answer
   x = 561,047.26