Finding the Third Proportional to 98,254 and 148,196

Step by Step Solution

1. Step 1: Write the proportion equation
   98,254 : 148,196 = 148,196 : x
2. Step 2: Convert to fraction form
   98,254/148,196 = 148,196/x
3. Step 3: Cross multiply
   98,254x = 148,196 × 148,196
4. Step 4: Simplify right side
   98,254x = 21,962,054,416
5. Step 5: Solve for x
   x = 21,962,054,416/98,254
6. Step 6: Final answer
   x = 223,523.26