Finding the Third Proportional to 309,889.50 and 478,848

Step by Step Solution

1. Step 1: Write the proportion equation
   309,889.50 : 478,848 = 478,848 : x
2. Step 2: Convert to fraction form
   309,889.50/478,848 = 478,848/x
3. Step 3: Cross multiply
   309,889.50x = 478,848 × 478,848
4. Step 4: Simplify right side
   309,889.50x = 229,295,407,104
5. Step 5: Solve for x
   x = 229,295,407,104/309,889.50
6. Step 6: Final answer
   x = 739,926.35