Finding the Third Proportional to 40,376 and 86,288

Step by Step Solution

1. Step 1: Write the proportion equation
   40,376 : 86,288 = 86,288 : x
2. Step 2: Convert to fraction form
   40,376/86,288 = 86,288/x
3. Step 3: Cross multiply
   40,376x = 86,288 × 86,288
4. Step 4: Simplify right side
   40,376x = 7,445,618,944
5. Step 5: Solve for x
   x = 7,445,618,944/40,376
6. Step 6: Final answer
   x = 184,407.05