Finding the Third Proportional to 88,164 and 189,584

Step by Step Solution

1. Step 1: Write the proportion equation
   88,164 : 189,584 = 189,584 : x
2. Step 2: Convert to fraction form
   88,164/189,584 = 189,584/x
3. Step 3: Cross multiply
   88,164x = 189,584 × 189,584
4. Step 4: Simplify right side
   88,164x = 35,942,093,056
5. Step 5: Solve for x
   x = 35,942,093,056/88,164
6. Step 6: Final answer
   x = 407,673.12