Finding the Third Proportional to 319,413 and 496,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,413 : 496,642.50 = 496,642.50 : x
2. Step 2: Convert to fraction form
   319,413/496,642.50 = 496,642.50/x
3. Step 3: Cross multiply
   319,413x = 496,642.50 × 496,642.50
4. Step 4: Simplify right side
   319,413x = 246,653,772,806.25
5. Step 5: Solve for x
   x = 246,653,772,806.25/319,413
6. Step 6: Final answer
   x = 772,209.56