Finding the Third Proportional to 294,327 and 455,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   294,327 : 455,638.50 = 455,638.50 : x
2. Step 2: Convert to fraction form
   294,327/455,638.50 = 455,638.50/x
3. Step 3: Cross multiply
   294,327x = 455,638.50 × 455,638.50
4. Step 4: Simplify right side
   294,327x = 207,606,442,682.25
5. Step 5: Solve for x
   x = 207,606,442,682.25/294,327
6. Step 6: Final answer
   x = 705,359.83