Finding the Third Proportional to 70,758 and 152,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,758 : 152,536.50 = 152,536.50 : x
2. Step 2: Convert to fraction form
   70,758/152,536.50 = 152,536.50/x
3. Step 3: Cross multiply
   70,758x = 152,536.50 × 152,536.50
4. Step 4: Simplify right side
   70,758x = 23,267,383,832.25
5. Step 5: Solve for x
   x = 23,267,383,832.25/70,758
6. Step 6: Final answer
   x = 328,830.43