Finding the Third Proportional to 83,892 and 184,362

Step by Step Solution

1. Step 1: Write the proportion equation
   83,892 : 184,362 = 184,362 : x
2. Step 2: Convert to fraction form
   83,892/184,362 = 184,362/x
3. Step 3: Cross multiply
   83,892x = 184,362 × 184,362
4. Step 4: Simplify right side
   83,892x = 33,989,347,044
5. Step 5: Solve for x
   x = 33,989,347,044/83,892
6. Step 6: Final answer
   x = 405,156.00