Finding the Third Proportional to 42,458 and 89,047

Step by Step Solution

1. Step 1: Write the proportion equation
   42,458 : 89,047 = 89,047 : x
2. Step 2: Convert to fraction form
   42,458/89,047 = 89,047/x
3. Step 3: Cross multiply
   42,458x = 89,047 × 89,047
4. Step 4: Simplify right side
   42,458x = 7,929,368,209
5. Step 5: Solve for x
   x = 7,929,368,209/42,458
6. Step 6: Final answer
   x = 186,757.93