Finding the Third Proportional to 147,172 and 233,196

Step by Step Solution

1. Step 1: Write the proportion equation
   147,172 : 233,196 = 233,196 : x
2. Step 2: Convert to fraction form
   147,172/233,196 = 233,196/x
3. Step 3: Cross multiply
   147,172x = 233,196 × 233,196
4. Step 4: Simplify right side
   147,172x = 54,380,374,416
5. Step 5: Solve for x
   x = 54,380,374,416/147,172
6. Step 6: Final answer
   x = 369,502.18