Finding the Third Proportional to 85,107 and 181,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,107 : 181,405.50 = 181,405.50 : x
2. Step 2: Convert to fraction form
   85,107/181,405.50 = 181,405.50/x
3. Step 3: Cross multiply
   85,107x = 181,405.50 × 181,405.50
4. Step 4: Simplify right side
   85,107x = 32,907,955,430.25
5. Step 5: Solve for x
   x = 32,907,955,430.25/85,107
6. Step 6: Final answer
   x = 386,665.67