Finding the Third Proportional to 64,112 and 140,032

Step by Step Solution

1. Step 1: Write the proportion equation
   64,112 : 140,032 = 140,032 : x
2. Step 2: Convert to fraction form
   64,112/140,032 = 140,032/x
3. Step 3: Cross multiply
   64,112x = 140,032 × 140,032
4. Step 4: Simplify right side
   64,112x = 19,608,961,024
5. Step 5: Solve for x
   x = 19,608,961,024/64,112
6. Step 6: Final answer
   x = 305,854.77