Finding the Third Proportional to 37,186 and 76,184

Step by Step Solution

1. Step 1: Write the proportion equation
   37,186 : 76,184 = 76,184 : x
2. Step 2: Convert to fraction form
   37,186/76,184 = 76,184/x
3. Step 3: Cross multiply
   37,186x = 76,184 × 76,184
4. Step 4: Simplify right side
   37,186x = 5,804,001,856
5. Step 5: Solve for x
   x = 5,804,001,856/37,186
6. Step 6: Final answer
   x = 156,080.30