Finding the Third Proportional to 152,454 and 223,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,454 : 223,213.50 = 223,213.50 : x
2. Step 2: Convert to fraction form
   152,454/223,213.50 = 223,213.50/x
3. Step 3: Cross multiply
   152,454x = 223,213.50 × 223,213.50
4. Step 4: Simplify right side
   152,454x = 49,824,266,582.25
5. Step 5: Solve for x
   x = 49,824,266,582.25/152,454
6. Step 6: Final answer
   x = 326,815.08