Finding the Third Proportional to 120,314 and 137,810

Step by Step Solution

1. Step 1: Write the proportion equation
   120,314 : 137,810 = 137,810 : x
2. Step 2: Convert to fraction form
   120,314/137,810 = 137,810/x
3. Step 3: Cross multiply
   120,314x = 137,810 × 137,810
4. Step 4: Simplify right side
   120,314x = 18,991,596,100
5. Step 5: Solve for x
   x = 18,991,596,100/120,314
6. Step 6: Final answer
   x = 157,850.26