Finding the Third Proportional to 78,384 and 119,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384 : 119,410.50 = 119,410.50 : x
2. Step 2: Convert to fraction form
   78,384/119,410.50 = 119,410.50/x
3. Step 3: Cross multiply
   78,384x = 119,410.50 × 119,410.50
4. Step 4: Simplify right side
   78,384x = 14,258,867,510.25
5. Step 5: Solve for x
   x = 14,258,867,510.25/78,384
6. Step 6: Final answer
   x = 181,910.43