Finding the Third Proportional to 47,700 and 104,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,700 : 104,782.50 = 104,782.50 : x
2. Step 2: Convert to fraction form
   47,700/104,782.50 = 104,782.50/x
3. Step 3: Cross multiply
   47,700x = 104,782.50 × 104,782.50
4. Step 4: Simplify right side
   47,700x = 10,979,372,306.25
5. Step 5: Solve for x
   x = 10,979,372,306.25/47,700
6. Step 6: Final answer
   x = 230,175.52