Finding the Third Proportional to 114,998 and 158,354

Step by Step Solution

1. Step 1: Write the proportion equation
   114,998 : 158,354 = 158,354 : x
2. Step 2: Convert to fraction form
   114,998/158,354 = 158,354/x
3. Step 3: Cross multiply
   114,998x = 158,354 × 158,354
4. Step 4: Simplify right side
   114,998x = 25,075,989,316
5. Step 5: Solve for x
   x = 25,075,989,316/114,998
6. Step 6: Final answer
   x = 218,055.87