Finding the Third Proportional to 149,547.50 and 229,864

Step by Step Solution

1. Step 1: Write the proportion equation
   149,547.50 : 229,864 = 229,864 : x
2. Step 2: Convert to fraction form
   149,547.50/229,864 = 229,864/x
3. Step 3: Cross multiply
   149,547.50x = 229,864 × 229,864
4. Step 4: Simplify right side
   149,547.50x = 52,837,458,496
5. Step 5: Solve for x
   x = 52,837,458,496/149,547.50
6. Step 6: Final answer
   x = 353,315.56