Finding the Third Proportional to 149,902 and 319,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,902 : 319,224.50 = 319,224.50 : x
2. Step 2: Convert to fraction form
   149,902/319,224.50 = 319,224.50/x
3. Step 3: Cross multiply
   149,902x = 319,224.50 × 319,224.50
4. Step 4: Simplify right side
   149,902x = 101,904,281,400.25
5. Step 5: Solve for x
   x = 101,904,281,400.25/149,902
6. Step 6: Final answer
   x = 679,806.02