Finding the Third Proportional to 157,614 and 342,020

Step by Step Solution

1. Step 1: Write the proportion equation
   157,614 : 342,020 = 342,020 : x
2. Step 2: Convert to fraction form
   157,614/342,020 = 342,020/x
3. Step 3: Cross multiply
   157,614x = 342,020 × 342,020
4. Step 4: Simplify right side
   157,614x = 116,977,680,400
5. Step 5: Solve for x
   x = 116,977,680,400/157,614
6. Step 6: Final answer
   x = 742,178.24