Finding the Third Proportional to 77,501.81 and 142,855.52

Step by Step Solution

1. Step 1: Write the proportion equation
   77,501.81 : 142,855.52 = 142,855.52 : x
2. Step 2: Convert to fraction form
   77,501.81/142,855.52 = 142,855.52/x
3. Step 3: Cross multiply
   77,501.81x = 142,855.52 × 142,855.52
4. Step 4: Simplify right side
   77,501.81x = 20,407,700,576.60
5. Step 5: Solve for x
   x = 20,407,700,576.60/77,501.81
6. Step 6: Final answer
   x = 263,319.01