Finding the Third Proportional to 78,828 and 113,321.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,828 : 113,321.25 = 113,321.25 : x
2. Step 2: Convert to fraction form
   78,828/113,321.25 = 113,321.25/x
3. Step 3: Cross multiply
   78,828x = 113,321.25 × 113,321.25
4. Step 4: Simplify right side
   78,828x = 12,841,705,701.56
5. Step 5: Solve for x
   x = 12,841,705,701.56/78,828
6. Step 6: Final answer
   x = 162,907.92