Finding the Third Proportional to 75,109.50 and 152,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,109.50 : 152,290.50 = 152,290.50 : x
2. Step 2: Convert to fraction form
   75,109.50/152,290.50 = 152,290.50/x
3. Step 3: Cross multiply
   75,109.50x = 152,290.50 × 152,290.50
4. Step 4: Simplify right side
   75,109.50x = 23,192,396,390.25
5. Step 5: Solve for x
   x = 23,192,396,390.25/75,109.50
6. Step 6: Final answer
   x = 308,781.13