Finding the Third Proportional to 50,520 and 109,776

Step by Step Solution

1. Step 1: Write the proportion equation
   50,520 : 109,776 = 109,776 : x
2. Step 2: Convert to fraction form
   50,520/109,776 = 109,776/x
3. Step 3: Cross multiply
   50,520x = 109,776 × 109,776
4. Step 4: Simplify right side
   50,520x = 12,050,770,176
5. Step 5: Solve for x
   x = 12,050,770,176/50,520
6. Step 6: Final answer
   x = 238,534.64