Finding the Third Proportional to 146,586 and 319,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,586 : 319,402.50 = 319,402.50 : x
2. Step 2: Convert to fraction form
   146,586/319,402.50 = 319,402.50/x
3. Step 3: Cross multiply
   146,586x = 319,402.50 × 319,402.50
4. Step 4: Simplify right side
   146,586x = 102,017,957,006.25
5. Step 5: Solve for x
   x = 102,017,957,006.25/146,586
6. Step 6: Final answer
   x = 695,959.76