Finding the Third Proportional to 85,039.50 and 186,191.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,039.50 : 186,191.25 = 186,191.25 : x
2. Step 2: Convert to fraction form
   85,039.50/186,191.25 = 186,191.25/x
3. Step 3: Cross multiply
   85,039.50x = 186,191.25 × 186,191.25
4. Step 4: Simplify right side
   85,039.50x = 34,667,181,576.56
5. Step 5: Solve for x
   x = 34,667,181,576.56/85,039.50
6. Step 6: Final answer
   x = 407,659.75