Finding the Third Proportional to 309,877.50 and 478,828.86

Step by Step Solution

1. Step 1: Write the proportion equation
   309,877.50 : 478,828.86 = 478,828.86 : x
2. Step 2: Convert to fraction form
   309,877.50/478,828.86 = 478,828.86/x
3. Step 3: Cross multiply
   309,877.50x = 478,828.86 × 478,828.86
4. Step 4: Simplify right side
   309,877.50x = 229,277,077,154.88
5. Step 5: Solve for x
   x = 229,277,077,154.88/309,877.50
6. Step 6: Final answer
   x = 739,895.84