Finding the Third Proportional to 91,194 and 142,326

Step by Step Solution

1. Step 1: Write the proportion equation
   91,194 : 142,326 = 142,326 : x
2. Step 2: Convert to fraction form
   91,194/142,326 = 142,326/x
3. Step 3: Cross multiply
   91,194x = 142,326 × 142,326
4. Step 4: Simplify right side
   91,194x = 20,256,690,276
5. Step 5: Solve for x
   x = 20,256,690,276/91,194
6. Step 6: Final answer
   x = 222,127.45