Finding the Third Proportional to 123,261 and 176,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,261 : 176,137.50 = 176,137.50 : x
2. Step 2: Convert to fraction form
   123,261/176,137.50 = 176,137.50/x
3. Step 3: Cross multiply
   123,261x = 176,137.50 × 176,137.50
4. Step 4: Simplify right side
   123,261x = 31,024,418,906.25
5. Step 5: Solve for x
   x = 31,024,418,906.25/123,261
6. Step 6: Final answer
   x = 251,696.96