Finding the Third Proportional to 45,768 and 99,012

Step by Step Solution

1. Step 1: Write the proportion equation
   45,768 : 99,012 = 99,012 : x
2. Step 2: Convert to fraction form
   45,768/99,012 = 99,012/x
3. Step 3: Cross multiply
   45,768x = 99,012 × 99,012
4. Step 4: Simplify right side
   45,768x = 9,803,376,144
5. Step 5: Solve for x
   x = 9,803,376,144/45,768
6. Step 6: Final answer
   x = 214,197.17