Finding the Third Proportional to 89,124 and 139,152

Step by Step Solution

1. Step 1: Write the proportion equation
   89,124 : 139,152 = 139,152 : x
2. Step 2: Convert to fraction form
   89,124/139,152 = 139,152/x
3. Step 3: Cross multiply
   89,124x = 139,152 × 139,152
4. Step 4: Simplify right side
   89,124x = 19,363,279,104
5. Step 5: Solve for x
   x = 19,363,279,104/89,124
6. Step 6: Final answer
   x = 217,262.23