Finding the Third Proportional to 102,573 and 215,513

Step by Step Solution

1. Step 1: Write the proportion equation
   102,573 : 215,513 = 215,513 : x
2. Step 2: Convert to fraction form
   102,573/215,513 = 215,513/x
3. Step 3: Cross multiply
   102,573x = 215,513 × 215,513
4. Step 4: Simplify right side
   102,573x = 46,445,853,169
5. Step 5: Solve for x
   x = 46,445,853,169/102,573
6. Step 6: Final answer
   x = 452,807.79