Finding the Third Proportional to 91,580 and 141,726

Step by Step Solution

1. Step 1: Write the proportion equation
   91,580 : 141,726 = 141,726 : x
2. Step 2: Convert to fraction form
   91,580/141,726 = 141,726/x
3. Step 3: Cross multiply
   91,580x = 141,726 × 141,726
4. Step 4: Simplify right side
   91,580x = 20,086,259,076
5. Step 5: Solve for x
   x = 20,086,259,076/91,580
6. Step 6: Final answer
   x = 219,330.19