Finding the Third Proportional to 105,346 and 195,746

Step by Step Solution

1. Step 1: Write the proportion equation
   105,346 : 195,746 = 195,746 : x
2. Step 2: Convert to fraction form
   105,346/195,746 = 195,746/x
3. Step 3: Cross multiply
   105,346x = 195,746 × 195,746
4. Step 4: Simplify right side
   105,346x = 38,316,496,516
5. Step 5: Solve for x
   x = 38,316,496,516/105,346
6. Step 6: Final answer
   x = 363,720.47