Finding the Third Proportional to 114,386 and 172,479

Step by Step Solution

1. Step 1: Write the proportion equation
   114,386 : 172,479 = 172,479 : x
2. Step 2: Convert to fraction form
   114,386/172,479 = 172,479/x
3. Step 3: Cross multiply
   114,386x = 172,479 × 172,479
4. Step 4: Simplify right side
   114,386x = 29,749,005,441
5. Step 5: Solve for x
   x = 29,749,005,441/114,386
6. Step 6: Final answer
   x = 260,075.58