Finding the Third Proportional to 112,264 and 169,558

Step by Step Solution

1. Step 1: Write the proportion equation
   112,264 : 169,558 = 169,558 : x
2. Step 2: Convert to fraction form
   112,264/169,558 = 169,558/x
3. Step 3: Cross multiply
   112,264x = 169,558 × 169,558
4. Step 4: Simplify right side
   112,264x = 28,749,915,364
5. Step 5: Solve for x
   x = 28,749,915,364/112,264
6. Step 6: Final answer
   x = 256,092.03