Finding the Third Proportional to 191.63 and 297.38

Step by Step Solution

1. Step 1: Write the proportion equation
   191.63 : 297.38 = 297.38 : x
2. Step 2: Convert to fraction form
   191.63/297.38 = 297.38/x
3. Step 3: Cross multiply
   191.63x = 297.38 × 297.38
4. Step 4: Simplify right side
   191.63x = 88,431.89
5. Step 5: Solve for x
   x = 88,431.89/191.63
6. Step 6: Final answer
   x = 461.48