Finding the Third Proportional to 387.84 and 914.72

Step by Step Solution

1. Step 1: Write the proportion equation
   387.84 : 914.72 = 914.72 : x
2. Step 2: Convert to fraction form
   387.84/914.72 = 914.72/x
3. Step 3: Cross multiply
   387.84x = 914.72 × 914.72
4. Step 4: Simplify right side
   387.84x = 836,710.39
5. Step 5: Solve for x
   x = 836,710.39/387.84
6. Step 6: Final answer
   x = 2,157.34