Finding the Third Proportional to 98,294 and 148,256

Step by Step Solution

1. Step 1: Write the proportion equation
   98,294 : 148,256 = 148,256 : x
2. Step 2: Convert to fraction form
   98,294/148,256 = 148,256/x
3. Step 3: Cross multiply
   98,294x = 148,256 × 148,256
4. Step 4: Simplify right side
   98,294x = 21,979,841,536
5. Step 5: Solve for x
   x = 21,979,841,536/98,294
6. Step 6: Final answer
   x = 223,613.26