Finding the Third Proportional to 165,573 and 262,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,573 : 262,291.50 = 262,291.50 : x
2. Step 2: Convert to fraction form
   165,573/262,291.50 = 262,291.50/x
3. Step 3: Cross multiply
   165,573x = 262,291.50 × 262,291.50
4. Step 4: Simplify right side
   165,573x = 68,796,830,972.25
5. Step 5: Solve for x
   x = 68,796,830,972.25/165,573
6. Step 6: Final answer
   x = 415,507.55