Finding the Third Proportional to 37,880 and 78,190

Step by Step Solution

1. Step 1: Write the proportion equation
   37,880 : 78,190 = 78,190 : x
2. Step 2: Convert to fraction form
   37,880/78,190 = 78,190/x
3. Step 3: Cross multiply
   37,880x = 78,190 × 78,190
4. Step 4: Simplify right side
   37,880x = 6,113,676,100
5. Step 5: Solve for x
   x = 6,113,676,100/37,880
6. Step 6: Final answer
   x = 161,395.88