Finding the Third Proportional to 89,641 and 191,058

Step by Step Solution

1. Step 1: Write the proportion equation
   89,641 : 191,058 = 191,058 : x
2. Step 2: Convert to fraction form
   89,641/191,058 = 191,058/x
3. Step 3: Cross multiply
   89,641x = 191,058 × 191,058
4. Step 4: Simplify right side
   89,641x = 36,503,159,364
5. Step 5: Solve for x
   x = 36,503,159,364/89,641
6. Step 6: Final answer
   x = 407,214.99