Finding the Third Proportional to 120,083 and 262,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,083 : 262,308.50 = 262,308.50 : x
2. Step 2: Convert to fraction form
   120,083/262,308.50 = 262,308.50/x
3. Step 3: Cross multiply
   120,083x = 262,308.50 × 262,308.50
4. Step 4: Simplify right side
   120,083x = 68,805,749,172.25
5. Step 5: Solve for x
   x = 68,805,749,172.25/120,083
6. Step 6: Final answer
   x = 572,984.93