Finding the Third Proportional to 153,578 and 319,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,578 : 319,417.50 = 319,417.50 : x
2. Step 2: Convert to fraction form
   153,578/319,417.50 = 319,417.50/x
3. Step 3: Cross multiply
   153,578x = 319,417.50 × 319,417.50
4. Step 4: Simplify right side
   153,578x = 102,027,539,306.25
5. Step 5: Solve for x
   x = 102,027,539,306.25/153,578
6. Step 6: Final answer
   x = 664,336.94