Finding the Third Proportional to 78,838.31 and 119,077.59

Step by Step Solution

1. Step 1: Write the proportion equation
   78,838.31 : 119,077.59 = 119,077.59 : x
2. Step 2: Convert to fraction form
   78,838.31/119,077.59 = 119,077.59/x
3. Step 3: Cross multiply
   78,838.31x = 119,077.59 × 119,077.59
4. Step 4: Simplify right side
   78,838.31x = 14,179,473,333.29
5. Step 5: Solve for x
   x = 14,179,473,333.29/78,838.31
6. Step 6: Final answer
   x = 179,855.11