Finding the Third Proportional to 89,432 and 184,534

Step by Step Solution

1. Step 1: Write the proportion equation
   89,432 : 184,534 = 184,534 : x
2. Step 2: Convert to fraction form
   89,432/184,534 = 184,534/x
3. Step 3: Cross multiply
   89,432x = 184,534 × 184,534
4. Step 4: Simplify right side
   89,432x = 34,052,797,156
5. Step 5: Solve for x
   x = 34,052,797,156/89,432
6. Step 6: Final answer
   x = 380,767.48