Finding the Third Proportional to 189,374 and 410,938

Step by Step Solution

1. Step 1: Write the proportion equation
   189,374 : 410,938 = 410,938 : x
2. Step 2: Convert to fraction form
   189,374/410,938 = 410,938/x
3. Step 3: Cross multiply
   189,374x = 410,938 × 410,938
4. Step 4: Simplify right side
   189,374x = 168,870,039,844
5. Step 5: Solve for x
   x = 168,870,039,844/189,374
6. Step 6: Final answer
   x = 891,727.69