Finding the Third Proportional to 320,410 and 692,216

Step by Step Solution

1. Step 1: Write the proportion equation
   320,410 : 692,216 = 692,216 : x
2. Step 2: Convert to fraction form
   320,410/692,216 = 692,216/x
3. Step 3: Cross multiply
   320,410x = 692,216 × 692,216
4. Step 4: Simplify right side
   320,410x = 479,162,990,656
5. Step 5: Solve for x
   x = 479,162,990,656/320,410
6. Step 6: Final answer
   x = 1,495,468.28