Finding the Third Proportional to 105,685 and 234,156

Step by Step Solution

1. Step 1: Write the proportion equation
   105,685 : 234,156 = 234,156 : x
2. Step 2: Convert to fraction form
   105,685/234,156 = 234,156/x
3. Step 3: Cross multiply
   105,685x = 234,156 × 234,156
4. Step 4: Simplify right side
   105,685x = 54,829,032,336
5. Step 5: Solve for x
   x = 54,829,032,336/105,685
6. Step 6: Final answer
   x = 518,796.73