Finding the Third Proportional to 189,766 and 407,672

Step by Step Solution

1. Step 1: Write the proportion equation
   189,766 : 407,672 = 407,672 : x
2. Step 2: Convert to fraction form
   189,766/407,672 = 407,672/x
3. Step 3: Cross multiply
   189,766x = 407,672 × 407,672
4. Step 4: Simplify right side
   189,766x = 166,196,459,584
5. Step 5: Solve for x
   x = 166,196,459,584/189,766
6. Step 6: Final answer
   x = 875,796.82