Finding the Third Proportional to 92,896 and 141,648

Step by Step Solution

1. Step 1: Write the proportion equation
   92,896 : 141,648 = 141,648 : x
2. Step 2: Convert to fraction form
   92,896/141,648 = 141,648/x
3. Step 3: Cross multiply
   92,896x = 141,648 × 141,648
4. Step 4: Simplify right side
   92,896x = 20,064,155,904
5. Step 5: Solve for x
   x = 20,064,155,904/92,896
6. Step 6: Final answer
   x = 215,985.14