Finding the Third Proportional to 114,761 and 175,445

Step by Step Solution

1. Step 1: Write the proportion equation
   114,761 : 175,445 = 175,445 : x
2. Step 2: Convert to fraction form
   114,761/175,445 = 175,445/x
3. Step 3: Cross multiply
   114,761x = 175,445 × 175,445
4. Step 4: Simplify right side
   114,761x = 30,780,948,025
5. Step 5: Solve for x
   x = 30,780,948,025/114,761
6. Step 6: Final answer
   x = 268,217.84