Finding the Third Proportional to 98,343 and 148,014

Step by Step Solution

1. Step 1: Write the proportion equation
   98,343 : 148,014 = 148,014 : x
2. Step 2: Convert to fraction form
   98,343/148,014 = 148,014/x
3. Step 3: Cross multiply
   98,343x = 148,014 × 148,014
4. Step 4: Simplify right side
   98,343x = 21,908,144,196
5. Step 5: Solve for x
   x = 21,908,144,196/98,343
6. Step 6: Final answer
   x = 222,772.79