Finding the Third Proportional to 40,338 and 79,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,338 : 79,681.50 = 79,681.50 : x
2. Step 2: Convert to fraction form
   40,338/79,681.50 = 79,681.50/x
3. Step 3: Cross multiply
   40,338x = 79,681.50 × 79,681.50
4. Step 4: Simplify right side
   40,338x = 6,349,141,442.25
5. Step 5: Solve for x
   x = 6,349,141,442.25/40,338
6. Step 6: Final answer
   x = 157,398.52