Finding the Third Proportional to 65,054 and 142,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,054 : 142,014.50 = 142,014.50 : x
2. Step 2: Convert to fraction form
   65,054/142,014.50 = 142,014.50/x
3. Step 3: Cross multiply
   65,054x = 142,014.50 × 142,014.50
4. Step 4: Simplify right side
   65,054x = 20,168,118,210.25
5. Step 5: Solve for x
   x = 20,168,118,210.25/65,054
6. Step 6: Final answer
   x = 310,021.19