Finding the Third Proportional to 49,470 and 109,611

Step by Step Solution

1. Step 1: Write the proportion equation
   49,470 : 109,611 = 109,611 : x
2. Step 2: Convert to fraction form
   49,470/109,611 = 109,611/x
3. Step 3: Cross multiply
   49,470x = 109,611 × 109,611
4. Step 4: Simplify right side
   49,470x = 12,014,571,321
5. Step 5: Solve for x
   x = 12,014,571,321/49,470
6. Step 6: Final answer
   x = 242,865.80