Finding the Third Proportional to 37,788 and 82,236

Step by Step Solution

1. Step 1: Write the proportion equation
   37,788 : 82,236 = 82,236 : x
2. Step 2: Convert to fraction form
   37,788/82,236 = 82,236/x
3. Step 3: Cross multiply
   37,788x = 82,236 × 82,236
4. Step 4: Simplify right side
   37,788x = 6,762,759,696
5. Step 5: Solve for x
   x = 6,762,759,696/37,788
6. Step 6: Final answer
   x = 178,965.80