Finding the Third Proportional to 577.41 and 916.45

Step by Step Solution

1. Step 1: Write the proportion equation
   577.41 : 916.45 = 916.45 : x
2. Step 2: Convert to fraction form
   577.41/916.45 = 916.45/x
3. Step 3: Cross multiply
   577.41x = 916.45 × 916.45
4. Step 4: Simplify right side
   577.41x = 839,886.33
5. Step 5: Solve for x
   x = 839,886.33/577.41
6. Step 6: Final answer
   x = 1,454.58