Finding the Third Proportional to 147,770 and 315,196

Step by Step Solution

1. Step 1: Write the proportion equation
   147,770 : 315,196 = 315,196 : x
2. Step 2: Convert to fraction form
   147,770/315,196 = 315,196/x
3. Step 3: Cross multiply
   147,770x = 315,196 × 315,196
4. Step 4: Simplify right side
   147,770x = 99,348,518,416
5. Step 5: Solve for x
   x = 99,348,518,416/147,770
6. Step 6: Final answer
   x = 672,318.59