Finding the Third Proportional to 42,083 and 89,997

Step by Step Solution

1. Step 1: Write the proportion equation
   42,083 : 89,997 = 89,997 : x
2. Step 2: Convert to fraction form
   42,083/89,997 = 89,997/x
3. Step 3: Cross multiply
   42,083x = 89,997 × 89,997
4. Step 4: Simplify right side
   42,083x = 8,099,460,009
5. Step 5: Solve for x
   x = 8,099,460,009/42,083
6. Step 6: Final answer
   x = 192,463.94