Finding the Third Proportional to 47,061 and 110,376

Step by Step Solution

1. Step 1: Write the proportion equation
   47,061 : 110,376 = 110,376 : x
2. Step 2: Convert to fraction form
   47,061/110,376 = 110,376/x
3. Step 3: Cross multiply
   47,061x = 110,376 × 110,376
4. Step 4: Simplify right side
   47,061x = 12,182,861,376
5. Step 5: Solve for x
   x = 12,182,861,376/47,061
6. Step 6: Final answer
   x = 258,873.83