Finding the Third Proportional to 85,358 and 113,268

Step by Step Solution

1. Step 1: Write the proportion equation
   85,358 : 113,268 = 113,268 : x
2. Step 2: Convert to fraction form
   85,358/113,268 = 113,268/x
3. Step 3: Cross multiply
   85,358x = 113,268 × 113,268
4. Step 4: Simplify right side
   85,358x = 12,829,639,824
5. Step 5: Solve for x
   x = 12,829,639,824/85,358
6. Step 6: Final answer
   x = 150,303.89