Finding the Third Proportional to 157,624 and 342,040

Step by Step Solution

1. Step 1: Write the proportion equation
   157,624 : 342,040 = 342,040 : x
2. Step 2: Convert to fraction form
   157,624/342,040 = 342,040/x
3. Step 3: Cross multiply
   157,624x = 342,040 × 342,040
4. Step 4: Simplify right side
   157,624x = 116,991,361,600
5. Step 5: Solve for x
   x = 116,991,361,600/157,624
6. Step 6: Final answer
   x = 742,217.95