Finding the Third Proportional to 89,580 and 136,152

Step by Step Solution

1. Step 1: Write the proportion equation
   89,580 : 136,152 = 136,152 : x
2. Step 2: Convert to fraction form
   89,580/136,152 = 136,152/x
3. Step 3: Cross multiply
   89,580x = 136,152 × 136,152
4. Step 4: Simplify right side
   89,580x = 18,537,367,104
5. Step 5: Solve for x
   x = 18,537,367,104/89,580
6. Step 6: Final answer
   x = 206,936.45