Finding the Third Proportional to 152,567 and 221,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,567 : 221,924.50 = 221,924.50 : x
2. Step 2: Convert to fraction form
   152,567/221,924.50 = 221,924.50/x
3. Step 3: Cross multiply
   152,567x = 221,924.50 × 221,924.50
4. Step 4: Simplify right side
   152,567x = 49,250,483,700.25
5. Step 5: Solve for x
   x = 49,250,483,700.25/152,567
6. Step 6: Final answer
   x = 322,812.17