Finding the Third Proportional to 38,409 and 88,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,409 : 88,975.50 = 88,975.50 : x
2. Step 2: Convert to fraction form
   38,409/88,975.50 = 88,975.50/x
3. Step 3: Cross multiply
   38,409x = 88,975.50 × 88,975.50
4. Step 4: Simplify right side
   38,409x = 7,916,639,600.25
5. Step 5: Solve for x
   x = 7,916,639,600.25/38,409
6. Step 6: Final answer
   x = 206,114.18