Finding the Third Proportional to 49,320 and 106,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,320 : 106,519.50 = 106,519.50 : x
2. Step 2: Convert to fraction form
   49,320/106,519.50 = 106,519.50/x
3. Step 3: Cross multiply
   49,320x = 106,519.50 × 106,519.50
4. Step 4: Simplify right side
   49,320x = 11,346,403,880.25
5. Step 5: Solve for x
   x = 11,346,403,880.25/49,320
6. Step 6: Final answer
   x = 230,056.85