Finding the Third Proportional to 109,354 and 178,563

Step by Step Solution

1. Step 1: Write the proportion equation
   109,354 : 178,563 = 178,563 : x
2. Step 2: Convert to fraction form
   109,354/178,563 = 178,563/x
3. Step 3: Cross multiply
   109,354x = 178,563 × 178,563
4. Step 4: Simplify right side
   109,354x = 31,884,744,969
5. Step 5: Solve for x
   x = 31,884,744,969/109,354
6. Step 6: Final answer
   x = 291,573.65