Finding the Third Proportional to 123,888 and 265,264

Step by Step Solution

1. Step 1: Write the proportion equation
   123,888 : 265,264 = 265,264 : x
2. Step 2: Convert to fraction form
   123,888/265,264 = 265,264/x
3. Step 3: Cross multiply
   123,888x = 265,264 × 265,264
4. Step 4: Simplify right side
   123,888x = 70,364,989,696
5. Step 5: Solve for x
   x = 70,364,989,696/123,888
6. Step 6: Final answer
   x = 567,972.60