Finding the Third Proportional to 124,497 and 178,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,497 : 178,969.50 = 178,969.50 : x
2. Step 2: Convert to fraction form
   124,497/178,969.50 = 178,969.50/x
3. Step 3: Cross multiply
   124,497x = 178,969.50 × 178,969.50
4. Step 4: Simplify right side
   124,497x = 32,030,081,930.25
5. Step 5: Solve for x
   x = 32,030,081,930.25/124,497
6. Step 6: Final answer
   x = 257,275.93