Finding the Third Proportional to 144,526 and 309,140

Step by Step Solution

1. Step 1: Write the proportion equation
   144,526 : 309,140 = 309,140 : x
2. Step 2: Convert to fraction form
   144,526/309,140 = 309,140/x
3. Step 3: Cross multiply
   144,526x = 309,140 × 309,140
4. Step 4: Simplify right side
   144,526x = 95,567,539,600
5. Step 5: Solve for x
   x = 95,567,539,600/144,526
6. Step 6: Final answer
   x = 661,248.08