Finding the Third Proportional to 148,957 and 319,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,957 : 319,233.50 = 319,233.50 : x
2. Step 2: Convert to fraction form
   148,957/319,233.50 = 319,233.50/x
3. Step 3: Cross multiply
   148,957x = 319,233.50 × 319,233.50
4. Step 4: Simplify right side
   148,957x = 101,910,027,522.25
5. Step 5: Solve for x
   x = 101,910,027,522.25/148,957
6. Step 6: Final answer
   x = 684,157.36