Finding the Third Proportional to 148,776 and 309,586

Step by Step Solution

1. Step 1: Write the proportion equation
   148,776 : 309,586 = 309,586 : x
2. Step 2: Convert to fraction form
   148,776/309,586 = 309,586/x
3. Step 3: Cross multiply
   148,776x = 309,586 × 309,586
4. Step 4: Simplify right side
   148,776x = 95,843,491,396
5. Step 5: Solve for x
   x = 95,843,491,396/148,776
6. Step 6: Final answer
   x = 644,213.39