Finding the Third Proportional to 385,500 and 593,280

Step by Step Solution

1. Step 1: Write the proportion equation
   385,500 : 593,280 = 593,280 : x
2. Step 2: Convert to fraction form
   385,500/593,280 = 593,280/x
3. Step 3: Cross multiply
   385,500x = 593,280 × 593,280
4. Step 4: Simplify right side
   385,500x = 351,981,158,400
5. Step 5: Solve for x
   x = 351,981,158,400/385,500
6. Step 6: Final answer
   x = 913,050.99