Finding the Third Proportional to 103,680 and 218,426

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 218,426 = 218,426 : x
2. Step 2: Convert to fraction form
   103,680/218,426 = 218,426/x
3. Step 3: Cross multiply
   103,680x = 218,426 × 218,426
4. Step 4: Simplify right side
   103,680x = 47,709,917,476
5. Step 5: Solve for x
   x = 47,709,917,476/103,680
6. Step 6: Final answer
   x = 460,165.10