Finding the Third Proportional to 37,363 and 78,188

Step by Step Solution

1. Step 1: Write the proportion equation
   37,363 : 78,188 = 78,188 : x
2. Step 2: Convert to fraction form
   37,363/78,188 = 78,188/x
3. Step 3: Cross multiply
   37,363x = 78,188 × 78,188
4. Step 4: Simplify right side
   37,363x = 6,113,363,344
5. Step 5: Solve for x
   x = 6,113,363,344/37,363
6. Step 6: Final answer
   x = 163,620.78