Finding the Third Proportional to 102,768 and 161,436.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,768 : 161,436.75 = 161,436.75 : x
2. Step 2: Convert to fraction form
   102,768/161,436.75 = 161,436.75/x
3. Step 3: Cross multiply
   102,768x = 161,436.75 × 161,436.75
4. Step 4: Simplify right side
   102,768x = 26,061,824,250.56
5. Step 5: Solve for x
   x = 26,061,824,250.56/102,768
6. Step 6: Final answer
   x = 253,598.63