Finding the Third Proportional to 65,478 and 142,950.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,478 : 142,950.50 = 142,950.50 : x
2. Step 2: Convert to fraction form
   65,478/142,950.50 = 142,950.50/x
3. Step 3: Cross multiply
   65,478x = 142,950.50 × 142,950.50
4. Step 4: Simplify right side
   65,478x = 20,434,845,450.25
5. Step 5: Solve for x
   x = 20,434,845,450.25/65,478
6. Step 6: Final answer
   x = 312,087.20