Finding the Third Proportional to 95,346 and 209,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,346 : 209,734.50 = 209,734.50 : x
2. Step 2: Convert to fraction form
   95,346/209,734.50 = 209,734.50/x
3. Step 3: Cross multiply
   95,346x = 209,734.50 × 209,734.50
4. Step 4: Simplify right side
   95,346x = 43,988,560,490.25
5. Step 5: Solve for x
   x = 43,988,560,490.25/95,346
6. Step 6: Final answer
   x = 461,357.17