Finding the Third Proportional to 148,665 and 322,602

Step by Step Solution

1. Step 1: Write the proportion equation
   148,665 : 322,602 = 322,602 : x
2. Step 2: Convert to fraction form
   148,665/322,602 = 322,602/x
3. Step 3: Cross multiply
   148,665x = 322,602 × 322,602
4. Step 4: Simplify right side
   148,665x = 104,072,050,404
5. Step 5: Solve for x
   x = 104,072,050,404/148,665
6. Step 6: Final answer
   x = 700,044.06