Finding the Third Proportional to 94,896 and 142,128

Step by Step Solution

1. Step 1: Write the proportion equation
   94,896 : 142,128 = 142,128 : x
2. Step 2: Convert to fraction form
   94,896/142,128 = 142,128/x
3. Step 3: Cross multiply
   94,896x = 142,128 × 142,128
4. Step 4: Simplify right side
   94,896x = 20,200,368,384
5. Step 5: Solve for x
   x = 20,200,368,384/94,896
6. Step 6: Final answer
   x = 212,868.49