Finding the Third Proportional to 37,763 and 88,197

Step by Step Solution

1. Step 1: Write the proportion equation
   37,763 : 88,197 = 88,197 : x
2. Step 2: Convert to fraction form
   37,763/88,197 = 88,197/x
3. Step 3: Cross multiply
   37,763x = 88,197 × 88,197
4. Step 4: Simplify right side
   37,763x = 7,778,710,809
5. Step 5: Solve for x
   x = 7,778,710,809/37,763
6. Step 6: Final answer
   x = 205,987.63