Finding the Third Proportional to 91,782 and 123,516

Step by Step Solution

1. Step 1: Write the proportion equation
   91,782 : 123,516 = 123,516 : x
2. Step 2: Convert to fraction form
   91,782/123,516 = 123,516/x
3. Step 3: Cross multiply
   91,782x = 123,516 × 123,516
4. Step 4: Simplify right side
   91,782x = 15,256,202,256
5. Step 5: Solve for x
   x = 15,256,202,256/91,782
6. Step 6: Final answer
   x = 166,222.16