Finding the Third Proportional to 83,959 and 184,513

Step by Step Solution

1. Step 1: Write the proportion equation
   83,959 : 184,513 = 184,513 : x
2. Step 2: Convert to fraction form
   83,959/184,513 = 184,513/x
3. Step 3: Cross multiply
   83,959x = 184,513 × 184,513
4. Step 4: Simplify right side
   83,959x = 34,045,047,169
5. Step 5: Solve for x
   x = 34,045,047,169/83,959
6. Step 6: Final answer
   x = 405,496.10