Finding the Third Proportional to 78,826.50 and 119,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,826.50 : 119,056.50 = 119,056.50 : x
2. Step 2: Convert to fraction form
   78,826.50/119,056.50 = 119,056.50/x
3. Step 3: Cross multiply
   78,826.50x = 119,056.50 × 119,056.50
4. Step 4: Simplify right side
   78,826.50x = 14,174,450,192.25
5. Step 5: Solve for x
   x = 14,174,450,192.25/78,826.50
6. Step 6: Final answer
   x = 179,818.34