Finding the Third Proportional to 65,097.42 and 142,701.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,097.42 : 142,701.75 = 142,701.75 : x
2. Step 2: Convert to fraction form
   65,097.42/142,701.75 = 142,701.75/x
3. Step 3: Cross multiply
   65,097.42x = 142,701.75 × 142,701.75
4. Step 4: Simplify right side
   65,097.42x = 20,363,789,453.06
5. Step 5: Solve for x
   x = 20,363,789,453.06/65,097.42
6. Step 6: Final answer
   x = 312,820.21