Finding the Third Proportional to 120,586.50 and 262,602

Step by Step Solution

1. Step 1: Write the proportion equation
   120,586.50 : 262,602 = 262,602 : x
2. Step 2: Convert to fraction form
   120,586.50/262,602 = 262,602/x
3. Step 3: Cross multiply
   120,586.50x = 262,602 × 262,602
4. Step 4: Simplify right side
   120,586.50x = 68,959,810,404
5. Step 5: Solve for x
   x = 68,959,810,404/120,586.50
6. Step 6: Final answer
   x = 571,870.07