Finding the Third Proportional to 78,002 and 115,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,002 : 115,855.50 = 115,855.50 : x
2. Step 2: Convert to fraction form
   78,002/115,855.50 = 115,855.50/x
3. Step 3: Cross multiply
   78,002x = 115,855.50 × 115,855.50
4. Step 4: Simplify right side
   78,002x = 13,422,496,880.25
5. Step 5: Solve for x
   x = 13,422,496,880.25/78,002
6. Step 6: Final answer
   x = 172,078.88