Finding the Third Proportional to 65,918 and 102,152

Step by Step Solution

1. Step 1: Write the proportion equation
   65,918 : 102,152 = 102,152 : x
2. Step 2: Convert to fraction form
   65,918/102,152 = 102,152/x
3. Step 3: Cross multiply
   65,918x = 102,152 × 102,152
4. Step 4: Simplify right side
   65,918x = 10,435,031,104
5. Step 5: Solve for x
   x = 10,435,031,104/65,918
6. Step 6: Final answer
   x = 158,303.21