Finding the Third Proportional to 76,640 and 114,488

Step by Step Solution

1. Step 1: Write the proportion equation
   76,640 : 114,488 = 114,488 : x
2. Step 2: Convert to fraction form
   76,640/114,488 = 114,488/x
3. Step 3: Cross multiply
   76,640x = 114,488 × 114,488
4. Step 4: Simplify right side
   76,640x = 13,107,502,144
5. Step 5: Solve for x
   x = 13,107,502,144/76,640
6. Step 6: Final answer
   x = 171,026.91