Finding the Third Proportional to 85,667.55 and 185,636.04

Step by Step Solution

1. Step 1: Write the proportion equation
   85,667.55 : 185,636.04 = 185,636.04 : x
2. Step 2: Convert to fraction form
   85,667.55/185,636.04 = 185,636.04/x
3. Step 3: Cross multiply
   85,667.55x = 185,636.04 × 185,636.04
4. Step 4: Simplify right side
   85,667.55x = 34,460,738,998.81
5. Step 5: Solve for x
   x = 34,460,738,998.81/85,667.55
6. Step 6: Final answer
   x = 402,261.27