Finding the Third Proportional to 78.31 and 189.37

Step by Step Solution

1. Step 1: Write the proportion equation
   78.31 : 189.37 = 189.37 : x
2. Step 2: Convert to fraction form
   78.31/189.37 = 189.37/x
3. Step 3: Cross multiply
   78.31x = 189.37 × 189.37
4. Step 4: Simplify right side
   78.31x = 35,860.67
5. Step 5: Solve for x
   x = 35,860.67/78.31
6. Step 6: Final answer
   x = 457.93