Finding the Third Proportional to 85,725.56 and 188,420.06

Step by Step Solution

1. Step 1: Write the proportion equation
   85,725.56 : 188,420.06 = 188,420.06 : x
2. Step 2: Convert to fraction form
   85,725.56/188,420.06 = 188,420.06/x
3. Step 3: Cross multiply
   85,725.56x = 188,420.06 × 188,420.06
4. Step 4: Simplify right side
   85,725.56x = 35,502,119,952.50
5. Step 5: Solve for x
   x = 35,502,119,952.50/85,725.56
6. Step 6: Final answer
   x = 414,136.91