Finding the Third Proportional to 37,361 and 78,184

Step by Step Solution

1. Step 1: Write the proportion equation
   37,361 : 78,184 = 78,184 : x
2. Step 2: Convert to fraction form
   37,361/78,184 = 78,184/x
3. Step 3: Cross multiply
   37,361x = 78,184 × 78,184
4. Step 4: Simplify right side
   37,361x = 6,112,737,856
5. Step 5: Solve for x
   x = 6,112,737,856/37,361
6. Step 6: Final answer
   x = 163,612.80