Finding the Third Proportional to 46,532 and 100,516

Step by Step Solution

1. Step 1: Write the proportion equation
   46,532 : 100,516 = 100,516 : x
2. Step 2: Convert to fraction form
   46,532/100,516 = 100,516/x
3. Step 3: Cross multiply
   46,532x = 100,516 × 100,516
4. Step 4: Simplify right side
   46,532x = 10,103,466,256
5. Step 5: Solve for x
   x = 10,103,466,256/46,532
6. Step 6: Final answer
   x = 217,129.42