Finding the Third Proportional to 148,036 and 317,224

Step by Step Solution

1. Step 1: Write the proportion equation
   148,036 : 317,224 = 317,224 : x
2. Step 2: Convert to fraction form
   148,036/317,224 = 317,224/x
3. Step 3: Cross multiply
   148,036x = 317,224 × 317,224
4. Step 4: Simplify right side
   148,036x = 100,631,066,176
5. Step 5: Solve for x
   x = 100,631,066,176/148,036
6. Step 6: Final answer
   x = 679,774.29