Finding the Third Proportional to 76,644 and 112,434

Step by Step Solution

1. Step 1: Write the proportion equation
   76,644 : 112,434 = 112,434 : x
2. Step 2: Convert to fraction form
   76,644/112,434 = 112,434/x
3. Step 3: Cross multiply
   76,644x = 112,434 × 112,434
4. Step 4: Simplify right side
   76,644x = 12,641,404,356
5. Step 5: Solve for x
   x = 12,641,404,356/76,644
6. Step 6: Final answer
   x = 164,936.65