Finding the Third Proportional to 37,800 and 88,290

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800 : 88,290 = 88,290 : x
2. Step 2: Convert to fraction form
   37,800/88,290 = 88,290/x
3. Step 3: Cross multiply
   37,800x = 88,290 × 88,290
4. Step 4: Simplify right side
   37,800x = 7,795,124,100
5. Step 5: Solve for x
   x = 7,795,124,100/37,800
6. Step 6: Final answer
   x = 206,220.21