Finding the Third Proportional to 78,846 and 170,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,846 : 170,815.50 = 170,815.50 : x
2. Step 2: Convert to fraction form
   78,846/170,815.50 = 170,815.50/x
3. Step 3: Cross multiply
   78,846x = 170,815.50 × 170,815.50
4. Step 4: Simplify right side
   78,846x = 29,177,935,040.25
5. Step 5: Solve for x
   x = 29,177,935,040.25/78,846
6. Step 6: Final answer
   x = 370,062.34