Finding the Third Proportional to 65,507 and 140,359

Step by Step Solution

1. Step 1: Write the proportion equation
   65,507 : 140,359 = 140,359 : x
2. Step 2: Convert to fraction form
   65,507/140,359 = 140,359/x
3. Step 3: Cross multiply
   65,507x = 140,359 × 140,359
4. Step 4: Simplify right side
   65,507x = 19,700,648,881
5. Step 5: Solve for x
   x = 19,700,648,881/65,507
6. Step 6: Final answer
   x = 300,741.13