Finding the Third Proportional to 102,825 and 153,389.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,825 : 153,389.25 = 153,389.25 : x
2. Step 2: Convert to fraction form
   102,825/153,389.25 = 153,389.25/x
3. Step 3: Cross multiply
   102,825x = 153,389.25 × 153,389.25
4. Step 4: Simplify right side
   102,825x = 23,528,262,015.56
5. Step 5: Solve for x
   x = 23,528,262,015.56/102,825
6. Step 6: Final answer
   x = 228,818.50