Finding the Third Proportional to 89,760 and 136,584

Step by Step Solution

1. Step 1: Write the proportion equation
   89,760 : 136,584 = 136,584 : x
2. Step 2: Convert to fraction form
   89,760/136,584 = 136,584/x
3. Step 3: Cross multiply
   89,760x = 136,584 × 136,584
4. Step 4: Simplify right side
   89,760x = 18,655,189,056
5. Step 5: Solve for x
   x = 18,655,189,056/89,760
6. Step 6: Final answer
   x = 207,834.10