Finding the Third Proportional to 169,113 and 262,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   169,113 : 262,219.50 = 262,219.50 : x
2. Step 2: Convert to fraction form
   169,113/262,219.50 = 262,219.50/x
3. Step 3: Cross multiply
   169,113x = 262,219.50 × 262,219.50
4. Step 4: Simplify right side
   169,113x = 68,759,066,180.25
5. Step 5: Solve for x
   x = 68,759,066,180.25/169,113
6. Step 6: Final answer
   x = 406,586.52