Finding the Third Proportional to 123,052 and 175,964

Step by Step Solution

1. Step 1: Write the proportion equation
   123,052 : 175,964 = 175,964 : x
2. Step 2: Convert to fraction form
   123,052/175,964 = 175,964/x
3. Step 3: Cross multiply
   123,052x = 175,964 × 175,964
4. Step 4: Simplify right side
   123,052x = 30,963,329,296
5. Step 5: Solve for x
   x = 30,963,329,296/123,052
6. Step 6: Final answer
   x = 251,628.01