Finding the Third Proportional to 78,783 and 113,253.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,783 : 113,253.75 = 113,253.75 : x
2. Step 2: Convert to fraction form
   78,783/113,253.75 = 113,253.75/x
3. Step 3: Cross multiply
   78,783x = 113,253.75 × 113,253.75
4. Step 4: Simplify right side
   78,783x = 12,826,411,889.06
5. Step 5: Solve for x
   x = 12,826,411,889.06/78,783
6. Step 6: Final answer
   x = 162,806.85