Finding the Third Proportional to 42,181 and 89,827

Step by Step Solution

1. Step 1: Write the proportion equation
   42,181 : 89,827 = 89,827 : x
2. Step 2: Convert to fraction form
   42,181/89,827 = 89,827/x
3. Step 3: Cross multiply
   42,181x = 89,827 × 89,827
4. Step 4: Simplify right side
   42,181x = 8,068,889,929
5. Step 5: Solve for x
   x = 8,068,889,929/42,181
6. Step 6: Final answer
   x = 191,292.05