Finding the Third Proportional to 78,012 and 119,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 119,935.50 = 119,935.50 : x
2. Step 2: Convert to fraction form
   78,012/119,935.50 = 119,935.50/x
3. Step 3: Cross multiply
   78,012x = 119,935.50 × 119,935.50
4. Step 4: Simplify right side
   78,012x = 14,384,524,160.25
5. Step 5: Solve for x
   x = 14,384,524,160.25/78,012
6. Step 6: Final answer
   x = 184,388.61