Finding the Third Proportional to 577.88 and 930.56

Step by Step Solution

1. Step 1: Write the proportion equation
   577.88 : 930.56 = 930.56 : x
2. Step 2: Convert to fraction form
   577.88/930.56 = 930.56/x
3. Step 3: Cross multiply
   577.88x = 930.56 × 930.56
4. Step 4: Simplify right side
   577.88x = 865,946.57
5. Step 5: Solve for x
   x = 865,946.57/577.88
6. Step 6: Final answer
   x = 1,498.50