Finding the Third Proportional to 64,872 and 140,820

Step by Step Solution

1. Step 1: Write the proportion equation
   64,872 : 140,820 = 140,820 : x
2. Step 2: Convert to fraction form
   64,872/140,820 = 140,820/x
3. Step 3: Cross multiply
   64,872x = 140,820 × 140,820
4. Step 4: Simplify right side
   64,872x = 19,830,272,400
5. Step 5: Solve for x
   x = 19,830,272,400/64,872
6. Step 6: Final answer
   x = 305,683.07