Finding the Third Proportional to 112,661 and 175,454

Step by Step Solution

1. Step 1: Write the proportion equation
   112,661 : 175,454 = 175,454 : x
2. Step 2: Convert to fraction form
   112,661/175,454 = 175,454/x
3. Step 3: Cross multiply
   112,661x = 175,454 × 175,454
4. Step 4: Simplify right side
   112,661x = 30,784,106,116
5. Step 5: Solve for x
   x = 30,784,106,116/112,661
6. Step 6: Final answer
   x = 273,245.45