Finding the Third Proportional to 91.90 and 193.46

Step by Step Solution

1. Step 1: Write the proportion equation
   91.90 : 193.46 = 193.46 : x
2. Step 2: Convert to fraction form
   91.90/193.46 = 193.46/x
3. Step 3: Cross multiply
   91.90x = 193.46 × 193.46
4. Step 4: Simplify right side
   91.90x = 37,428.65
5. Step 5: Solve for x
   x = 37,428.65/91.90
6. Step 6: Final answer
   x = 407.28