Finding the Third Proportional to 70,697.50 and 152,464.75

Step by Step Solution

1. Step 1: Write the proportion equation
   70,697.50 : 152,464.75 = 152,464.75 : x
2. Step 2: Convert to fraction form
   70,697.50/152,464.75 = 152,464.75/x
3. Step 3: Cross multiply
   70,697.50x = 152,464.75 × 152,464.75
4. Step 4: Simplify right side
   70,697.50x = 23,245,499,992.56
5. Step 5: Solve for x
   x = 23,245,499,992.56/70,697.50
6. Step 6: Final answer
   x = 328,802.29