Finding the Third Proportional to 152,155.50 and 222,599.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152,155.50 : 222,599.25 = 222,599.25 : x
2. Step 2: Convert to fraction form
   152,155.50/222,599.25 = 222,599.25/x
3. Step 3: Cross multiply
   152,155.50x = 222,599.25 × 222,599.25
4. Step 4: Simplify right side
   152,155.50x = 49,550,426,100.56
5. Step 5: Solve for x
   x = 49,550,426,100.56/152,155.50
6. Step 6: Final answer
   x = 325,656.49