Finding the Third Proportional to 78,175.75 and 152,463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,175.75 : 152,463.25 = 152,463.25 : x
2. Step 2: Convert to fraction form
   78,175.75/152,463.25 = 152,463.25/x
3. Step 3: Cross multiply
   78,175.75x = 152,463.25 × 152,463.25
4. Step 4: Simplify right side
   78,175.75x = 23,245,042,600.56
5. Step 5: Solve for x
   x = 23,245,042,600.56/78,175.75
6. Step 6: Final answer
   x = 297,343.39