Finding the Third Proportional to 76,688 and 112,449

Step by Step Solution

1. Step 1: Write the proportion equation
   76,688 : 112,449 = 112,449 : x
2. Step 2: Convert to fraction form
   76,688/112,449 = 112,449/x
3. Step 3: Cross multiply
   76,688x = 112,449 × 112,449
4. Step 4: Simplify right side
   76,688x = 12,644,777,601
5. Step 5: Solve for x
   x = 12,644,777,601/76,688
6. Step 6: Final answer
   x = 164,886.00