Finding the Third Proportional to 91,142 and 133,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,142 : 133,634.50 = 133,634.50 : x
2. Step 2: Convert to fraction form
   91,142/133,634.50 = 133,634.50/x
3. Step 3: Cross multiply
   91,142x = 133,634.50 × 133,634.50
4. Step 4: Simplify right side
   91,142x = 17,858,179,590.25
5. Step 5: Solve for x
   x = 17,858,179,590.25/91,142
6. Step 6: Final answer
   x = 195,937.98