Finding the Third Proportional to 147,962 and 209,362

Step by Step Solution

1. Step 1: Write the proportion equation
   147,962 : 209,362 = 209,362 : x
2. Step 2: Convert to fraction form
   147,962/209,362 = 209,362/x
3. Step 3: Cross multiply
   147,962x = 209,362 × 209,362
4. Step 4: Simplify right side
   147,962x = 43,832,447,044
5. Step 5: Solve for x
   x = 43,832,447,044/147,962
6. Step 6: Final answer
   x = 296,241.24