Finding the Third Proportional to 89,400 and 191,781

Step by Step Solution

1. Step 1: Write the proportion equation
   89,400 : 191,781 = 191,781 : x
2. Step 2: Convert to fraction form
   89,400/191,781 = 191,781/x
3. Step 3: Cross multiply
   89,400x = 191,781 × 191,781
4. Step 4: Simplify right side
   89,400x = 36,779,951,961
5. Step 5: Solve for x
   x = 36,779,951,961/89,400
6. Step 6: Final answer
   x = 411,408.86