Finding the Third Proportional to 36,858 and 86,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,858 : 86,569.50 = 86,569.50 : x
2. Step 2: Convert to fraction form
   36,858/86,569.50 = 86,569.50/x
3. Step 3: Cross multiply
   36,858x = 86,569.50 × 86,569.50
4. Step 4: Simplify right side
   36,858x = 7,494,278,330.25
5. Step 5: Solve for x
   x = 7,494,278,330.25/36,858
6. Step 6: Final answer
   x = 203,328.40