Finding the Third Proportional to 219,358 and 478,378

Step by Step Solution

1. Step 1: Write the proportion equation
   219,358 : 478,378 = 478,378 : x
2. Step 2: Convert to fraction form
   219,358/478,378 = 478,378/x
3. Step 3: Cross multiply
   219,358x = 478,378 × 478,378
4. Step 4: Simplify right side
   219,358x = 228,845,510,884
5. Step 5: Solve for x
   x = 228,845,510,884/219,358
6. Step 6: Final answer
   x = 1,043,251.26