Finding the Third Proportional to 91,582 and 141,729

Step by Step Solution

1. Step 1: Write the proportion equation
   91,582 : 141,729 = 141,729 : x
2. Step 2: Convert to fraction form
   91,582/141,729 = 141,729/x
3. Step 3: Cross multiply
   91,582x = 141,729 × 141,729
4. Step 4: Simplify right side
   91,582x = 20,087,109,441
5. Step 5: Solve for x
   x = 20,087,109,441/91,582
6. Step 6: Final answer
   x = 219,334.69