Finding the Third Proportional to 42,606 and 89,619

Step by Step Solution

1. Step 1: Write the proportion equation
   42,606 : 89,619 = 89,619 : x
2. Step 2: Convert to fraction form
   42,606/89,619 = 89,619/x
3. Step 3: Cross multiply
   42,606x = 89,619 × 89,619
4. Step 4: Simplify right side
   42,606x = 8,031,565,161
5. Step 5: Solve for x
   x = 8,031,565,161/42,606
6. Step 6: Final answer
   x = 188,507.84