Finding the Third Proportional to 147,733 and 215,139

Step by Step Solution

1. Step 1: Write the proportion equation
   147,733 : 215,139 = 215,139 : x
2. Step 2: Convert to fraction form
   147,733/215,139 = 215,139/x
3. Step 3: Cross multiply
   147,733x = 215,139 × 215,139
4. Step 4: Simplify right side
   147,733x = 46,284,789,321
5. Step 5: Solve for x
   x = 46,284,789,321/147,733
6. Step 6: Final answer
   x = 313,300.27