Finding the Third Proportional to 233,640 and 342,156

Step by Step Solution

1. Step 1: Write the proportion equation
   233,640 : 342,156 = 342,156 : x
2. Step 2: Convert to fraction form
   233,640/342,156 = 342,156/x
3. Step 3: Cross multiply
   233,640x = 342,156 × 342,156
4. Step 4: Simplify right side
   233,640x = 117,070,728,336
5. Step 5: Solve for x
   x = 117,070,728,336/233,640
6. Step 6: Final answer
   x = 501,073.14