Finding the Third Proportional to 78,002 and 111,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,002 : 111,465.50 = 111,465.50 : x
2. Step 2: Convert to fraction form
   78,002/111,465.50 = 111,465.50/x
3. Step 3: Cross multiply
   78,002x = 111,465.50 × 111,465.50
4. Step 4: Simplify right side
   78,002x = 12,424,557,690.25
5. Step 5: Solve for x
   x = 12,424,557,690.25/78,002
6. Step 6: Final answer
   x = 159,285.12