Finding the Third Proportional to 42,227 and 89,637

Step by Step Solution

1. Step 1: Write the proportion equation
   42,227 : 89,637 = 89,637 : x
2. Step 2: Convert to fraction form
   42,227/89,637 = 89,637/x
3. Step 3: Cross multiply
   42,227x = 89,637 × 89,637
4. Step 4: Simplify right side
   42,227x = 8,034,791,769
5. Step 5: Solve for x
   x = 8,034,791,769/42,227
6. Step 6: Final answer
   x = 190,276.17