Finding the Third Proportional to 147,738 and 215,145

Step by Step Solution

1. Step 1: Write the proportion equation
   147,738 : 215,145 = 215,145 : x
2. Step 2: Convert to fraction form
   147,738/215,145 = 215,145/x
3. Step 3: Cross multiply
   147,738x = 215,145 × 215,145
4. Step 4: Simplify right side
   147,738x = 46,287,371,025
5. Step 5: Solve for x
   x = 46,287,371,025/147,738
6. Step 6: Final answer
   x = 313,307.15