Finding the Third Proportional to 114,752 and 154,208

Step by Step Solution

1. Step 1: Write the proportion equation
   114,752 : 154,208 = 154,208 : x
2. Step 2: Convert to fraction form
   114,752/154,208 = 154,208/x
3. Step 3: Cross multiply
   114,752x = 154,208 × 154,208
4. Step 4: Simplify right side
   114,752x = 23,780,107,264
5. Step 5: Solve for x
   x = 23,780,107,264/114,752
6. Step 6: Final answer
   x = 207,230.44