Finding the Third Proportional to 189,672 and 384,798

Step by Step Solution

1. Step 1: Write the proportion equation
   189,672 : 384,798 = 384,798 : x
2. Step 2: Convert to fraction form
   189,672/384,798 = 384,798/x
3. Step 3: Cross multiply
   189,672x = 384,798 × 384,798
4. Step 4: Simplify right side
   189,672x = 148,069,500,804
5. Step 5: Solve for x
   x = 148,069,500,804/189,672
6. Step 6: Final answer
   x = 780,660.83