Finding the Third Proportional to 271,658 and 430,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,658 : 430,063.50 = 430,063.50 : x
2. Step 2: Convert to fraction form
   271,658/430,063.50 = 430,063.50/x
3. Step 3: Cross multiply
   271,658x = 430,063.50 × 430,063.50
4. Step 4: Simplify right side
   271,658x = 184,954,614,032.25
5. Step 5: Solve for x
   x = 184,954,614,032.25/271,658
6. Step 6: Final answer
   x = 680,836.25