Finding the Third Proportional to 76,312 and 111,952

Step by Step Solution

1. Step 1: Write the proportion equation
   76,312 : 111,952 = 111,952 : x
2. Step 2: Convert to fraction form
   76,312/111,952 = 111,952/x
3. Step 3: Cross multiply
   76,312x = 111,952 × 111,952
4. Step 4: Simplify right side
   76,312x = 12,533,250,304
5. Step 5: Solve for x
   x = 12,533,250,304/76,312
6. Step 6: Final answer
   x = 164,236.95