Finding the Third Proportional to 78,830 and 113,323

Step by Step Solution

1. Step 1: Write the proportion equation
   78,830 : 113,323 = 113,323 : x
2. Step 2: Convert to fraction form
   78,830/113,323 = 113,323/x
3. Step 3: Cross multiply
   78,830x = 113,323 × 113,323
4. Step 4: Simplify right side
   78,830x = 12,842,102,329
5. Step 5: Solve for x
   x = 12,842,102,329/78,830
6. Step 6: Final answer
   x = 162,908.82