Finding the Third Proportional to 65,166.38 and 142,788.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,166.38 : 142,788.75 = 142,788.75 : x
2. Step 2: Convert to fraction form
   65,166.38/142,788.75 = 142,788.75/x
3. Step 3: Cross multiply
   65,166.38x = 142,788.75 × 142,788.75
4. Step 4: Simplify right side
   65,166.38x = 20,388,627,126.56
5. Step 5: Solve for x
   x = 20,388,627,126.56/65,166.38
6. Step 6: Final answer
   x = 312,870.36