Finding the Third Proportional to 150,465 and 221,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,465 : 221,083.50 = 221,083.50 : x
2. Step 2: Convert to fraction form
   150,465/221,083.50 = 221,083.50/x
3. Step 3: Cross multiply
   150,465x = 221,083.50 × 221,083.50
4. Step 4: Simplify right side
   150,465x = 48,877,913,972.25
5. Step 5: Solve for x
   x = 48,877,913,972.25/150,465
6. Step 6: Final answer
   x = 324,845.74