Finding the Third Proportional to 163,485 and 260,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,485 : 260,293.50 = 260,293.50 : x
2. Step 2: Convert to fraction form
   163,485/260,293.50 = 260,293.50/x
3. Step 3: Cross multiply
   163,485x = 260,293.50 × 260,293.50
4. Step 4: Simplify right side
   163,485x = 67,752,706,142.25
5. Step 5: Solve for x
   x = 67,752,706,142.25/163,485
6. Step 6: Final answer
   x = 414,427.66