Finding the Third Proportional to 65,110 and 142,152

Step by Step Solution

1. Step 1: Write the proportion equation
   65,110 : 142,152 = 142,152 : x
2. Step 2: Convert to fraction form
   65,110/142,152 = 142,152/x
3. Step 3: Cross multiply
   65,110x = 142,152 × 142,152
4. Step 4: Simplify right side
   65,110x = 20,207,191,104
5. Step 5: Solve for x
   x = 20,207,191,104/65,110
6. Step 6: Final answer
   x = 310,354.65