Finding the Third Proportional to 85,376 and 184,428

Step by Step Solution

1. Step 1: Write the proportion equation
   85,376 : 184,428 = 184,428 : x
2. Step 2: Convert to fraction form
   85,376/184,428 = 184,428/x
3. Step 3: Cross multiply
   85,376x = 184,428 × 184,428
4. Step 4: Simplify right side
   85,376x = 34,013,687,184
5. Step 5: Solve for x
   x = 34,013,687,184/85,376
6. Step 6: Final answer
   x = 398,398.70