Finding the Third Proportional to 37,801 and 88,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,801 : 88,292.50 = 88,292.50 : x
2. Step 2: Convert to fraction form
   37,801/88,292.50 = 88,292.50/x
3. Step 3: Cross multiply
   37,801x = 88,292.50 × 88,292.50
4. Step 4: Simplify right side
   37,801x = 7,795,565,556.25
5. Step 5: Solve for x
   x = 7,795,565,556.25/37,801
6. Step 6: Final answer
   x = 206,226.44