Finding the Third Proportional to 157,754 and 342,123

Step by Step Solution

1. Step 1: Write the proportion equation
   157,754 : 342,123 = 342,123 : x
2. Step 2: Convert to fraction form
   157,754/342,123 = 342,123/x
3. Step 3: Cross multiply
   157,754x = 342,123 × 342,123
4. Step 4: Simplify right side
   157,754x = 117,048,147,129
5. Step 5: Solve for x
   x = 117,048,147,129/157,754
6. Step 6: Final answer
   x = 741,966.27