Finding the Third Proportional to 645,456 and 947,448

Step by Step Solution

1. Step 1: Write the proportion equation
   645,456 : 947,448 = 947,448 : x
2. Step 2: Convert to fraction form
   645,456/947,448 = 947,448/x
3. Step 3: Cross multiply
   645,456x = 947,448 × 947,448
4. Step 4: Simplify right side
   645,456x = 897,657,712,704
5. Step 5: Solve for x
   x = 897,657,712,704/645,456
6. Step 6: Final answer
   x = 1,390,734.17