Finding the Third Proportional to 271,662 and 430,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,662 : 430,069.50 = 430,069.50 : x
2. Step 2: Convert to fraction form
   271,662/430,069.50 = 430,069.50/x
3. Step 3: Cross multiply
   271,662x = 430,069.50 × 430,069.50
4. Step 4: Simplify right side
   271,662x = 184,959,774,830.25
5. Step 5: Solve for x
   x = 184,959,774,830.25/271,662
6. Step 6: Final answer
   x = 680,845.22