Finding the Third Proportional to 84,614.25 and 185,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,614.25 : 185,833.50 = 185,833.50 : x
2. Step 2: Convert to fraction form
   84,614.25/185,833.50 = 185,833.50/x
3. Step 3: Cross multiply
   84,614.25x = 185,833.50 × 185,833.50
4. Step 4: Simplify right side
   84,614.25x = 34,534,089,722.25
5. Step 5: Solve for x
   x = 34,534,089,722.25/84,614.25
6. Step 6: Final answer
   x = 408,135.62