Finding the Third Proportional to 112,758 and 178,412

Step by Step Solution

1. Step 1: Write the proportion equation
   112,758 : 178,412 = 178,412 : x
2. Step 2: Convert to fraction form
   112,758/178,412 = 178,412/x
3. Step 3: Cross multiply
   112,758x = 178,412 × 178,412
4. Step 4: Simplify right side
   112,758x = 31,830,841,744
5. Step 5: Solve for x
   x = 31,830,841,744/112,758
6. Step 6: Final answer
   x = 282,293.42