Finding the Third Proportional to 89,432 and 192,584

Step by Step Solution

1. Step 1: Write the proportion equation
   89,432 : 192,584 = 192,584 : x
2. Step 2: Convert to fraction form
   89,432/192,584 = 192,584/x
3. Step 3: Cross multiply
   89,432x = 192,584 × 192,584
4. Step 4: Simplify right side
   89,432x = 37,088,597,056
5. Step 5: Solve for x
   x = 37,088,597,056/89,432
6. Step 6: Final answer
   x = 414,712.82