Finding the Third Proportional to 65,074.50 and 142,602.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,074.50 : 142,602.75 = 142,602.75 : x
2. Step 2: Convert to fraction form
   65,074.50/142,602.75 = 142,602.75/x
3. Step 3: Cross multiply
   65,074.50x = 142,602.75 × 142,602.75
4. Step 4: Simplify right side
   65,074.50x = 20,335,544,307.56
5. Step 5: Solve for x
   x = 20,335,544,307.56/65,074.50
6. Step 6: Final answer
   x = 312,496.36