Finding the Third Proportional to 384,492 and 582,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,492 : 582,472.50 = 582,472.50 : x
2. Step 2: Convert to fraction form
   384,492/582,472.50 = 582,472.50/x
3. Step 3: Cross multiply
   384,492x = 582,472.50 × 582,472.50
4. Step 4: Simplify right side
   384,492x = 339,274,213,256.25
5. Step 5: Solve for x
   x = 339,274,213,256.25/384,492
6. Step 6: Final answer
   x = 882,396.03