Finding the Third Proportional to 106,680 and 233,442

Step by Step Solution

1. Step 1: Write the proportion equation
   106,680 : 233,442 = 233,442 : x
2. Step 2: Convert to fraction form
   106,680/233,442 = 233,442/x
3. Step 3: Cross multiply
   106,680x = 233,442 × 233,442
4. Step 4: Simplify right side
   106,680x = 54,495,167,364
5. Step 5: Solve for x
   x = 54,495,167,364/106,680
6. Step 6: Final answer
   x = 510,828.34