Finding the Third Proportional to 111,084 and 172,053

Step by Step Solution

1. Step 1: Write the proportion equation
   111,084 : 172,053 = 172,053 : x
2. Step 2: Convert to fraction form
   111,084/172,053 = 172,053/x
3. Step 3: Cross multiply
   111,084x = 172,053 × 172,053
4. Step 4: Simplify right side
   111,084x = 29,602,234,809
5. Step 5: Solve for x
   x = 29,602,234,809/111,084
6. Step 6: Final answer
   x = 266,485.14