Finding the Third Proportional to 102,546 and 215,460

Step by Step Solution

1. Step 1: Write the proportion equation
   102,546 : 215,460 = 215,460 : x
2. Step 2: Convert to fraction form
   102,546/215,460 = 215,460/x
3. Step 3: Cross multiply
   102,546x = 215,460 × 215,460
4. Step 4: Simplify right side
   102,546x = 46,423,011,600
5. Step 5: Solve for x
   x = 46,423,011,600/102,546
6. Step 6: Final answer
   x = 452,704.27