Finding the Third Proportional to 123,352 and 176,264

Step by Step Solution

1. Step 1: Write the proportion equation
   123,352 : 176,264 = 176,264 : x
2. Step 2: Convert to fraction form
   123,352/176,264 = 176,264/x
3. Step 3: Cross multiply
   123,352x = 176,264 × 176,264
4. Step 4: Simplify right side
   123,352x = 31,068,997,696
5. Step 5: Solve for x
   x = 31,068,997,696/123,352
6. Step 6: Final answer
   x = 251,872.67