Finding the Third Proportional to 111,254 and 172,281

Step by Step Solution

1. Step 1: Write the proportion equation
   111,254 : 172,281 = 172,281 : x
2. Step 2: Convert to fraction form
   111,254/172,281 = 172,281/x
3. Step 3: Cross multiply
   111,254x = 172,281 × 172,281
4. Step 4: Simplify right side
   111,254x = 29,680,742,961
5. Step 5: Solve for x
   x = 29,680,742,961/111,254
6. Step 6: Final answer
   x = 266,783.60