Finding the Third Proportional to 122,048 and 177,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,048 : 177,472.50 = 177,472.50 : x
2. Step 2: Convert to fraction form
   122,048/177,472.50 = 177,472.50/x
3. Step 3: Cross multiply
   122,048x = 177,472.50 × 177,472.50
4. Step 4: Simplify right side
   122,048x = 31,496,488,256.25
5. Step 5: Solve for x
   x = 31,496,488,256.25/122,048
6. Step 6: Final answer
   x = 258,066.40