Finding the Third Proportional to 102,797 and 153,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,797 : 153,773.50 = 153,773.50 : x
2. Step 2: Convert to fraction form
   102,797/153,773.50 = 153,773.50/x
3. Step 3: Cross multiply
   102,797x = 153,773.50 × 153,773.50
4. Step 4: Simplify right side
   102,797x = 23,646,289,302.25
5. Step 5: Solve for x
   x = 23,646,289,302.25/102,797
6. Step 6: Final answer
   x = 230,028.98