Finding the Third Proportional to 645,460 and 947,454

Step by Step Solution

1. Step 1: Write the proportion equation
   645,460 : 947,454 = 947,454 : x
2. Step 2: Convert to fraction form
   645,460/947,454 = 947,454/x
3. Step 3: Cross multiply
   645,460x = 947,454 × 947,454
4. Step 4: Simplify right side
   645,460x = 897,669,082,116
5. Step 5: Solve for x
   x = 897,669,082,116/645,460
6. Step 6: Final answer
   x = 1,390,743.16