Finding the Third Proportional to 102,575 and 215,516

Step by Step Solution

1. Step 1: Write the proportion equation
   102,575 : 215,516 = 215,516 : x
2. Step 2: Convert to fraction form
   102,575/215,516 = 215,516/x
3. Step 3: Cross multiply
   102,575x = 215,516 × 215,516
4. Step 4: Simplify right side
   102,575x = 46,447,146,256
5. Step 5: Solve for x
   x = 46,447,146,256/102,575
6. Step 6: Final answer
   x = 452,811.56