Finding the Third Proportional to 124,972 and 178,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,972 : 178,583.50 = 178,583.50 : x
2. Step 2: Convert to fraction form
   124,972/178,583.50 = 178,583.50/x
3. Step 3: Cross multiply
   124,972x = 178,583.50 × 178,583.50
4. Step 4: Simplify right side
   124,972x = 31,892,066,472.25
5. Step 5: Solve for x
   x = 31,892,066,472.25/124,972
6. Step 6: Final answer
   x = 255,193.70