Finding the Third Proportional to 64,845 and 141,507

Step by Step Solution

1. Step 1: Write the proportion equation
   64,845 : 141,507 = 141,507 : x
2. Step 2: Convert to fraction form
   64,845/141,507 = 141,507/x
3. Step 3: Cross multiply
   64,845x = 141,507 × 141,507
4. Step 4: Simplify right side
   64,845x = 20,024,231,049
5. Step 5: Solve for x
   x = 20,024,231,049/64,845
6. Step 6: Final answer
   x = 308,801.47