Finding the Third Proportional to 86,346 and 114,768

Step by Step Solution

1. Step 1: Write the proportion equation
   86,346 : 114,768 = 114,768 : x
2. Step 2: Convert to fraction form
   86,346/114,768 = 114,768/x
3. Step 3: Cross multiply
   86,346x = 114,768 × 114,768
4. Step 4: Simplify right side
   86,346x = 13,171,693,824
5. Step 5: Solve for x
   x = 13,171,693,824/86,346
6. Step 6: Final answer
   x = 152,545.50