Finding the Third Proportional to 76,658 and 112,071

Step by Step Solution

1. Step 1: Write the proportion equation
   76,658 : 112,071 = 112,071 : x
2. Step 2: Convert to fraction form
   76,658/112,071 = 112,071/x
3. Step 3: Cross multiply
   76,658x = 112,071 × 112,071
4. Step 4: Simplify right side
   76,658x = 12,559,909,041
5. Step 5: Solve for x
   x = 12,559,909,041/76,658
6. Step 6: Final answer
   x = 163,843.42