Finding the Third Proportional to 376,224 and 510,384

Step by Step Solution

1. Step 1: Write the proportion equation
   376,224 : 510,384 = 510,384 : x
2. Step 2: Convert to fraction form
   376,224/510,384 = 510,384/x
3. Step 3: Cross multiply
   376,224x = 510,384 × 510,384
4. Step 4: Simplify right side
   376,224x = 260,491,827,456
5. Step 5: Solve for x
   x = 260,491,827,456/376,224
6. Step 6: Final answer
   x = 692,384.93