Finding the Third Proportional to 91,014 and 133,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,014 : 133,057.50 = 133,057.50 : x
2. Step 2: Convert to fraction form
   91,014/133,057.50 = 133,057.50/x
3. Step 3: Cross multiply
   91,014x = 133,057.50 × 133,057.50
4. Step 4: Simplify right side
   91,014x = 17,704,298,306.25
5. Step 5: Solve for x
   x = 17,704,298,306.25/91,014
6. Step 6: Final answer
   x = 194,522.80