Finding the Third Proportional to 65,178 and 142,810

Step by Step Solution

1. Step 1: Write the proportion equation
   65,178 : 142,810 = 142,810 : x
2. Step 2: Convert to fraction form
   65,178/142,810 = 142,810/x
3. Step 3: Cross multiply
   65,178x = 142,810 × 142,810
4. Step 4: Simplify right side
   65,178x = 20,394,696,100
5. Step 5: Solve for x
   x = 20,394,696,100/65,178
6. Step 6: Final answer
   x = 312,907.67