Finding the Third Proportional to 314.72 and 761.48

Step by Step Solution

1. Step 1: Write the proportion equation
   314.72 : 761.48 = 761.48 : x
2. Step 2: Convert to fraction form
   314.72/761.48 = 761.48/x
3. Step 3: Cross multiply
   314.72x = 761.48 × 761.48
4. Step 4: Simplify right side
   314.72x = 579,858.45
5. Step 5: Solve for x
   x = 579,858.45/314.72
6. Step 6: Final answer
   x = 1,842.47