Finding the Third Proportional to 58,356 and 123,696

Step by Step Solution

1. Step 1: Write the proportion equation
   58,356 : 123,696 = 123,696 : x
2. Step 2: Convert to fraction form
   58,356/123,696 = 123,696/x
3. Step 3: Cross multiply
   58,356x = 123,696 × 123,696
4. Step 4: Simplify right side
   58,356x = 15,300,700,416
5. Step 5: Solve for x
   x = 15,300,700,416/58,356
6. Step 6: Final answer
   x = 262,195.84