Finding the Third Proportional to 95,346 and 209,362

Step by Step Solution

1. Step 1: Write the proportion equation
   95,346 : 209,362 = 209,362 : x
2. Step 2: Convert to fraction form
   95,346/209,362 = 209,362/x
3. Step 3: Cross multiply
   95,346x = 209,362 × 209,362
4. Step 4: Simplify right side
   95,346x = 43,832,447,044
5. Step 5: Solve for x
   x = 43,832,447,044/95,346
6. Step 6: Final answer
   x = 459,719.83