Finding the Third Proportional to 189,599 and 414,910

Step by Step Solution

1. Step 1: Write the proportion equation
   189,599 : 414,910 = 414,910 : x
2. Step 2: Convert to fraction form
   189,599/414,910 = 414,910/x
3. Step 3: Cross multiply
   189,599x = 414,910 × 414,910
4. Step 4: Simplify right side
   189,599x = 172,150,308,100
5. Step 5: Solve for x
   x = 172,150,308,100/189,599
6. Step 6: Final answer
   x = 907,970.55