Finding the Third Proportional to 71,770 and 112,015

Step by Step Solution

1. Step 1: Write the proportion equation
   71,770 : 112,015 = 112,015 : x
2. Step 2: Convert to fraction form
   71,770/112,015 = 112,015/x
3. Step 3: Cross multiply
   71,770x = 112,015 × 112,015
4. Step 4: Simplify right side
   71,770x = 12,547,360,225
5. Step 5: Solve for x
   x = 12,547,360,225/71,770
6. Step 6: Final answer
   x = 174,827.37