Finding the Third Proportional to 274,005 and 429,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,005 : 429,943.50 = 429,943.50 : x
2. Step 2: Convert to fraction form
   274,005/429,943.50 = 429,943.50/x
3. Step 3: Cross multiply
   274,005x = 429,943.50 × 429,943.50
4. Step 4: Simplify right side
   274,005x = 184,851,413,192.25
5. Step 5: Solve for x
   x = 184,851,413,192.25/274,005
6. Step 6: Final answer
   x = 674,627.88