Finding the Third Proportional to 102,870.56 and 146,821.78

Step by Step Solution

1. Step 1: Write the proportion equation
   102,870.56 : 146,821.78 = 146,821.78 : x
2. Step 2: Convert to fraction form
   102,870.56/146,821.78 = 146,821.78/x
3. Step 3: Cross multiply
   102,870.56x = 146,821.78 × 146,821.78
4. Step 4: Simplify right side
   102,870.56x = 21,556,635,449.42
5. Step 5: Solve for x
   x = 21,556,635,449.42/102,870.56
6. Step 6: Final answer
   x = 209,551.06