Finding the Third Proportional to 37,805 and 88,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,805 : 88,302.50 = 88,302.50 : x
2. Step 2: Convert to fraction form
   37,805/88,302.50 = 88,302.50/x
3. Step 3: Cross multiply
   37,805x = 88,302.50 × 88,302.50
4. Step 4: Simplify right side
   37,805x = 7,797,331,506.25
5. Step 5: Solve for x
   x = 7,797,331,506.25/37,805
6. Step 6: Final answer
   x = 206,251.33