Finding the Third Proportional to 76,364 and 114,556

Step by Step Solution

1. Step 1: Write the proportion equation
   76,364 : 114,556 = 114,556 : x
2. Step 2: Convert to fraction form
   76,364/114,556 = 114,556/x
3. Step 3: Cross multiply
   76,364x = 114,556 × 114,556
4. Step 4: Simplify right side
   76,364x = 13,123,077,136
5. Step 5: Solve for x
   x = 13,123,077,136/76,364
6. Step 6: Final answer
   x = 171,849.00