Finding the Third Proportional to 114,088 and 175,584

Step by Step Solution

1. Step 1: Write the proportion equation
   114,088 : 175,584 = 175,584 : x
2. Step 2: Convert to fraction form
   114,088/175,584 = 175,584/x
3. Step 3: Cross multiply
   114,088x = 175,584 × 175,584
4. Step 4: Simplify right side
   114,088x = 30,829,741,056
5. Step 5: Solve for x
   x = 30,829,741,056/114,088
6. Step 6: Final answer
   x = 270,227.73