Finding the Third Proportional to 65,629 and 140,594

Step by Step Solution

1. Step 1: Write the proportion equation
   65,629 : 140,594 = 140,594 : x
2. Step 2: Convert to fraction form
   65,629/140,594 = 140,594/x
3. Step 3: Cross multiply
   65,629x = 140,594 × 140,594
4. Step 4: Simplify right side
   65,629x = 19,766,672,836
5. Step 5: Solve for x
   x = 19,766,672,836/65,629
6. Step 6: Final answer
   x = 301,188.09