Finding the Third Proportional to 148,542 and 309,322

Step by Step Solution

1. Step 1: Write the proportion equation
   148,542 : 309,322 = 309,322 : x
2. Step 2: Convert to fraction form
   148,542/309,322 = 309,322/x
3. Step 3: Cross multiply
   148,542x = 309,322 × 309,322
4. Step 4: Simplify right side
   148,542x = 95,680,099,684
5. Step 5: Solve for x
   x = 95,680,099,684/148,542
6. Step 6: Final answer
   x = 644,128.26