Finding the Third Proportional to 123,155 and 265,302

Step by Step Solution

1. Step 1: Write the proportion equation
   123,155 : 265,302 = 265,302 : x
2. Step 2: Convert to fraction form
   123,155/265,302 = 265,302/x
3. Step 3: Cross multiply
   123,155x = 265,302 × 265,302
4. Step 4: Simplify right side
   123,155x = 70,385,151,204
5. Step 5: Solve for x
   x = 70,385,151,204/123,155
6. Step 6: Final answer
   x = 571,516.80