Finding the Third Proportional to 102,256 and 149,940

Step by Step Solution

1. Step 1: Write the proportion equation
   102,256 : 149,940 = 149,940 : x
2. Step 2: Convert to fraction form
   102,256/149,940 = 149,940/x
3. Step 3: Cross multiply
   102,256x = 149,940 × 149,940
4. Step 4: Simplify right side
   102,256x = 22,482,003,600
5. Step 5: Solve for x
   x = 22,482,003,600/102,256
6. Step 6: Final answer
   x = 219,859.99