Finding the Third Proportional to 148,822 and 320,969

Step by Step Solution

1. Step 1: Write the proportion equation
   148,822 : 320,969 = 320,969 : x
2. Step 2: Convert to fraction form
   148,822/320,969 = 320,969/x
3. Step 3: Cross multiply
   148,822x = 320,969 × 320,969
4. Step 4: Simplify right side
   148,822x = 103,021,098,961
5. Step 5: Solve for x
   x = 103,021,098,961/148,822
6. Step 6: Final answer
   x = 692,243.75