Finding the Third Proportional to 65,764.50 and 142,595.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,764.50 : 142,595.25 = 142,595.25 : x
2. Step 2: Convert to fraction form
   65,764.50/142,595.25 = 142,595.25/x
3. Step 3: Cross multiply
   65,764.50x = 142,595.25 × 142,595.25
4. Step 4: Simplify right side
   65,764.50x = 20,333,405,322.56
5. Step 5: Solve for x
   x = 20,333,405,322.56/65,764.50
6. Step 6: Final answer
   x = 309,185.13