Finding the Third Proportional to 76,598 and 114,978

Step by Step Solution

1. Step 1: Write the proportion equation
   76,598 : 114,978 = 114,978 : x
2. Step 2: Convert to fraction form
   76,598/114,978 = 114,978/x
3. Step 3: Cross multiply
   76,598x = 114,978 × 114,978
4. Step 4: Simplify right side
   76,598x = 13,219,940,484
5. Step 5: Solve for x
   x = 13,219,940,484/76,598
6. Step 6: Final answer
   x = 172,588.59