Finding the Third Proportional to 163,830 and 220,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,830 : 220,153.50 = 220,153.50 : x
2. Step 2: Convert to fraction form
   163,830/220,153.50 = 220,153.50/x
3. Step 3: Cross multiply
   163,830x = 220,153.50 × 220,153.50
4. Step 4: Simplify right side
   163,830x = 48,467,563,562.25
5. Step 5: Solve for x
   x = 48,467,563,562.25/163,830
6. Step 6: Final answer
   x = 295,840.59