Finding the Third Proportional to 63,520 and 142,076

Step by Step Solution

1. Step 1: Write the proportion equation
   63,520 : 142,076 = 142,076 : x
2. Step 2: Convert to fraction form
   63,520/142,076 = 142,076/x
3. Step 3: Cross multiply
   63,520x = 142,076 × 142,076
4. Step 4: Simplify right side
   63,520x = 20,185,589,776
5. Step 5: Solve for x
   x = 20,185,589,776/63,520
6. Step 6: Final answer
   x = 317,783.21