Finding the Third Proportional to 65,154 and 142,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,154 : 142,303.50 = 142,303.50 : x
2. Step 2: Convert to fraction form
   65,154/142,303.50 = 142,303.50/x
3. Step 3: Cross multiply
   65,154x = 142,303.50 × 142,303.50
4. Step 4: Simplify right side
   65,154x = 20,250,286,112.25
5. Step 5: Solve for x
   x = 20,250,286,112.25/65,154
6. Step 6: Final answer
   x = 310,806.49