Finding the Third Proportional to 157,880 and 342,008

Step by Step Solution

1. Step 1: Write the proportion equation
   157,880 : 342,008 = 342,008 : x
2. Step 2: Convert to fraction form
   157,880/342,008 = 342,008/x
3. Step 3: Cross multiply
   157,880x = 342,008 × 342,008
4. Step 4: Simplify right side
   157,880x = 116,969,472,064
5. Step 5: Solve for x
   x = 116,969,472,064/157,880
6. Step 6: Final answer
   x = 740,875.80