Finding the Third Proportional to 123,152 and 265,522

Step by Step Solution

1. Step 1: Write the proportion equation
   123,152 : 265,522 = 265,522 : x
2. Step 2: Convert to fraction form
   123,152/265,522 = 265,522/x
3. Step 3: Cross multiply
   123,152x = 265,522 × 265,522
4. Step 4: Simplify right side
   123,152x = 70,501,932,484
5. Step 5: Solve for x
   x = 70,501,932,484/123,152
6. Step 6: Final answer
   x = 572,478.99