Finding the Third Proportional to 65,102 and 142,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,102 : 142,667.50 = 142,667.50 : x
2. Step 2: Convert to fraction form
   65,102/142,667.50 = 142,667.50/x
3. Step 3: Cross multiply
   65,102x = 142,667.50 × 142,667.50
4. Step 4: Simplify right side
   65,102x = 20,354,015,556.25
5. Step 5: Solve for x
   x = 20,354,015,556.25/65,102
6. Step 6: Final answer
   x = 312,648.08