Finding the Third Proportional to 89,428 and 184,526

Step by Step Solution

1. Step 1: Write the proportion equation
   89,428 : 184,526 = 184,526 : x
2. Step 2: Convert to fraction form
   89,428/184,526 = 184,526/x
3. Step 3: Cross multiply
   89,428x = 184,526 × 184,526
4. Step 4: Simplify right side
   89,428x = 34,049,844,676
5. Step 5: Solve for x
   x = 34,049,844,676/89,428
6. Step 6: Final answer
   x = 380,751.49