Finding the Third Proportional to 197,838 and 478,602

Step by Step Solution

1. Step 1: Write the proportion equation
   197,838 : 478,602 = 478,602 : x
2. Step 2: Convert to fraction form
   197,838/478,602 = 478,602/x
3. Step 3: Cross multiply
   197,838x = 478,602 × 478,602
4. Step 4: Simplify right side
   197,838x = 229,059,874,404
5. Step 5: Solve for x
   x = 229,059,874,404/197,838
6. Step 6: Final answer
   x = 1,157,815.36