Finding the Third Proportional to 271,664 and 430,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,664 : 430,072.50 = 430,072.50 : x
2. Step 2: Convert to fraction form
   271,664/430,072.50 = 430,072.50/x
3. Step 3: Cross multiply
   271,664x = 430,072.50 × 430,072.50
4. Step 4: Simplify right side
   271,664x = 184,962,355,256.25
5. Step 5: Solve for x
   x = 184,962,355,256.25/271,664
6. Step 6: Final answer
   x = 680,849.71