Finding the Third Proportional to 85,667.98 and 185,636.88

Step by Step Solution

1. Step 1: Write the proportion equation
   85,667.98 : 185,636.88 = 185,636.88 : x
2. Step 2: Convert to fraction form
   85,667.98/185,636.88 = 185,636.88/x
3. Step 3: Cross multiply
   85,667.98x = 185,636.88 × 185,636.88
4. Step 4: Simplify right side
   85,667.98x = 34,461,052,260.34
5. Step 5: Solve for x
   x = 34,461,052,260.34/85,667.98
6. Step 6: Final answer
   x = 402,262.94