Finding the Third Proportional to 123,152 and 265,534

Step by Step Solution

1. Step 1: Write the proportion equation
   123,152 : 265,534 = 265,534 : x
2. Step 2: Convert to fraction form
   123,152/265,534 = 265,534/x
3. Step 3: Cross multiply
   123,152x = 265,534 × 265,534
4. Step 4: Simplify right side
   123,152x = 70,508,305,156
5. Step 5: Solve for x
   x = 70,508,305,156/123,152
6. Step 6: Final answer
   x = 572,530.74