Finding the Third Proportional to 148,948 and 319,216

Step by Step Solution

1. Step 1: Write the proportion equation
   148,948 : 319,216 = 319,216 : x
2. Step 2: Convert to fraction form
   148,948/319,216 = 319,216/x
3. Step 3: Cross multiply
   148,948x = 319,216 × 319,216
4. Step 4: Simplify right side
   148,948x = 101,898,854,656
5. Step 5: Solve for x
   x = 101,898,854,656/148,948
6. Step 6: Final answer
   x = 684,123.69