Finding the Third Proportional to 78,838 and 113,335

Step by Step Solution

1. Step 1: Write the proportion equation
   78,838 : 113,335 = 113,335 : x
2. Step 2: Convert to fraction form
   78,838/113,335 = 113,335/x
3. Step 3: Cross multiply
   78,838x = 113,335 × 113,335
4. Step 4: Simplify right side
   78,838x = 12,844,822,225
5. Step 5: Solve for x
   x = 12,844,822,225/78,838
6. Step 6: Final answer
   x = 162,926.79