Finding the Third Proportional to 102,658 and 153,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,658 : 153,568.50 = 153,568.50 : x
2. Step 2: Convert to fraction form
   102,658/153,568.50 = 153,568.50/x
3. Step 3: Cross multiply
   102,658x = 153,568.50 × 153,568.50
4. Step 4: Simplify right side
   102,658x = 23,583,284,192.25
5. Step 5: Solve for x
   x = 23,583,284,192.25/102,658
6. Step 6: Final answer
   x = 229,726.71