Finding the Third Proportional to 163,822.50 and 262,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,822.50 : 262,642.50 = 262,642.50 : x
2. Step 2: Convert to fraction form
   163,822.50/262,642.50 = 262,642.50/x
3. Step 3: Cross multiply
   163,822.50x = 262,642.50 × 262,642.50
4. Step 4: Simplify right side
   163,822.50x = 68,981,082,806.25
5. Step 5: Solve for x
   x = 68,981,082,806.25/163,822.50
6. Step 6: Final answer
   x = 421,072.09