Finding the Third Proportional to 309,912 and 478,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,912 : 478,537.50 = 478,537.50 : x
2. Step 2: Convert to fraction form
   309,912/478,537.50 = 478,537.50/x
3. Step 3: Cross multiply
   309,912x = 478,537.50 × 478,537.50
4. Step 4: Simplify right side
   309,912x = 228,998,138,906.25
5. Step 5: Solve for x
   x = 228,998,138,906.25/309,912
6. Step 6: Final answer
   x = 738,913.43