Finding the Third Proportional to 36,338 and 78,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,338 : 78,241.50 = 78,241.50 : x
2. Step 2: Convert to fraction form
   36,338/78,241.50 = 78,241.50/x
3. Step 3: Cross multiply
   36,338x = 78,241.50 × 78,241.50
4. Step 4: Simplify right side
   36,338x = 6,121,732,322.25
5. Step 5: Solve for x
   x = 6,121,732,322.25/36,338
6. Step 6: Final answer
   x = 168,466.41