Finding the Third Proportional to 123,264 and 176,146

Step by Step Solution

1. Step 1: Write the proportion equation
   123,264 : 176,146 = 176,146 : x
2. Step 2: Convert to fraction form
   123,264/176,146 = 176,146/x
3. Step 3: Cross multiply
   123,264x = 176,146 × 176,146
4. Step 4: Simplify right side
   123,264x = 31,027,413,316
5. Step 5: Solve for x
   x = 31,027,413,316/123,264
6. Step 6: Final answer
   x = 251,715.13