Finding the Third Proportional to 123,370 and 265,094

Step by Step Solution

1. Step 1: Write the proportion equation
   123,370 : 265,094 = 265,094 : x
2. Step 2: Convert to fraction form
   123,370/265,094 = 265,094/x
3. Step 3: Cross multiply
   123,370x = 265,094 × 265,094
4. Step 4: Simplify right side
   123,370x = 70,274,828,836
5. Step 5: Solve for x
   x = 70,274,828,836/123,370
6. Step 6: Final answer
   x = 569,626.56