Finding the Third Proportional to 78,378 and 112,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,378 : 112,036.50 = 112,036.50 : x
2. Step 2: Convert to fraction form
   78,378/112,036.50 = 112,036.50/x
3. Step 3: Cross multiply
   78,378x = 112,036.50 × 112,036.50
4. Step 4: Simplify right side
   78,378x = 12,552,177,332.25
5. Step 5: Solve for x
   x = 12,552,177,332.25/78,378
6. Step 6: Final answer
   x = 160,149.24