Finding the Third Proportional to 65,178 and 142,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,178 : 142,141.50 = 142,141.50 : x
2. Step 2: Convert to fraction form
   65,178/142,141.50 = 142,141.50/x
3. Step 3: Cross multiply
   65,178x = 142,141.50 × 142,141.50
4. Step 4: Simplify right side
   65,178x = 20,204,206,022.25
5. Step 5: Solve for x
   x = 20,204,206,022.25/65,178
6. Step 6: Final answer
   x = 309,985.06