Finding the Third Proportional to 91,853 and 140,507

Step by Step Solution

1. Step 1: Write the proportion equation
   91,853 : 140,507 = 140,507 : x
2. Step 2: Convert to fraction form
   91,853/140,507 = 140,507/x
3. Step 3: Cross multiply
   91,853x = 140,507 × 140,507
4. Step 4: Simplify right side
   91,853x = 19,742,217,049
5. Step 5: Solve for x
   x = 19,742,217,049/91,853
6. Step 6: Final answer
   x = 214,932.74