Finding the Third Proportional to 309,882 and 478,835.25

Step by Step Solution

1. Step 1: Write the proportion equation
   309,882 : 478,835.25 = 478,835.25 : x
2. Step 2: Convert to fraction form
   309,882/478,835.25 = 478,835.25/x
3. Step 3: Cross multiply
   309,882x = 478,835.25 × 478,835.25
4. Step 4: Simplify right side
   309,882x = 229,283,196,642.56
5. Step 5: Solve for x
   x = 229,283,196,642.56/309,882
6. Step 6: Final answer
   x = 739,904.86