Finding the Third Proportional to 150,872 and 314,140

Step by Step Solution

1. Step 1: Write the proportion equation
   150,872 : 314,140 = 314,140 : x
2. Step 2: Convert to fraction form
   150,872/314,140 = 314,140/x
3. Step 3: Cross multiply
   150,872x = 314,140 × 314,140
4. Step 4: Simplify right side
   150,872x = 98,683,939,600
5. Step 5: Solve for x
   x = 98,683,939,600/150,872
6. Step 6: Final answer
   x = 654,090.48