Finding the Third Proportional to 51,417 and 114,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,417 : 114,649.50 = 114,649.50 : x
2. Step 2: Convert to fraction form
   51,417/114,649.50 = 114,649.50/x
3. Step 3: Cross multiply
   51,417x = 114,649.50 × 114,649.50
4. Step 4: Simplify right side
   51,417x = 13,144,507,850.25
5. Step 5: Solve for x
   x = 13,144,507,850.25/51,417
6. Step 6: Final answer
   x = 255,645.17