Finding the Third Proportional to 95,164 and 148,196

Step by Step Solution

1. Step 1: Write the proportion equation
   95,164 : 148,196 = 148,196 : x
2. Step 2: Convert to fraction form
   95,164/148,196 = 148,196/x
3. Step 3: Cross multiply
   95,164x = 148,196 × 148,196
4. Step 4: Simplify right side
   95,164x = 21,962,054,416
5. Step 5: Solve for x
   x = 21,962,054,416/95,164
6. Step 6: Final answer
   x = 230,781.12