Finding the Third Proportional to 85,216 and 184,535

Step by Step Solution

1. Step 1: Write the proportion equation
   85,216 : 184,535 = 184,535 : x
2. Step 2: Convert to fraction form
   85,216/184,535 = 184,535/x
3. Step 3: Cross multiply
   85,216x = 184,535 × 184,535
4. Step 4: Simplify right side
   85,216x = 34,053,166,225
5. Step 5: Solve for x
   x = 34,053,166,225/85,216
6. Step 6: Final answer
   x = 399,610.01