Finding the Third Proportional to 65,870 and 102,185

Step by Step Solution

1. Step 1: Write the proportion equation
   65,870 : 102,185 = 102,185 : x
2. Step 2: Convert to fraction form
   65,870/102,185 = 102,185/x
3. Step 3: Cross multiply
   65,870x = 102,185 × 102,185
4. Step 4: Simplify right side
   65,870x = 10,441,774,225
5. Step 5: Solve for x
   x = 10,441,774,225/65,870
6. Step 6: Final answer
   x = 158,520.94