Finding the Third Proportional to 40,176 and 86,076

Step by Step Solution

1. Step 1: Write the proportion equation
   40,176 : 86,076 = 86,076 : x
2. Step 2: Convert to fraction form
   40,176/86,076 = 86,076/x
3. Step 3: Cross multiply
   40,176x = 86,076 × 86,076
4. Step 4: Simplify right side
   40,176x = 7,409,077,776
5. Step 5: Solve for x
   x = 7,409,077,776/40,176
6. Step 6: Final answer
   x = 184,415.52