Finding the Third Proportional to 155,778 and 233,405.25

Step by Step Solution

1. Step 1: Write the proportion equation
   155,778 : 233,405.25 = 233,405.25 : x
2. Step 2: Convert to fraction form
   155,778/233,405.25 = 233,405.25/x
3. Step 3: Cross multiply
   155,778x = 233,405.25 × 233,405.25
4. Step 4: Simplify right side
   155,778x = 54,478,010,727.56
5. Step 5: Solve for x
   x = 54,478,010,727.56/155,778
6. Step 6: Final answer
   x = 349,715.69