Finding the Third Proportional to 97,398 and 147,150

Step by Step Solution

1. Step 1: Write the proportion equation
   97,398 : 147,150 = 147,150 : x
2. Step 2: Convert to fraction form
   97,398/147,150 = 147,150/x
3. Step 3: Cross multiply
   97,398x = 147,150 × 147,150
4. Step 4: Simplify right side
   97,398x = 21,653,122,500
5. Step 5: Solve for x
   x = 21,653,122,500/97,398
6. Step 6: Final answer
   x = 222,315.88