Finding the Third Proportional to 91,896 and 141,840

Step by Step Solution

1. Step 1: Write the proportion equation
   91,896 : 141,840 = 141,840 : x
2. Step 2: Convert to fraction form
   91,896/141,840 = 141,840/x
3. Step 3: Cross multiply
   91,896x = 141,840 × 141,840
4. Step 4: Simplify right side
   91,896x = 20,118,585,600
5. Step 5: Solve for x
   x = 20,118,585,600/91,896
6. Step 6: Final answer
   x = 218,927.76