Finding the Third Proportional to 190,188 and 296,196

Step by Step Solution

1. Step 1: Write the proportion equation
   190,188 : 296,196 = 296,196 : x
2. Step 2: Convert to fraction form
   190,188/296,196 = 296,196/x
3. Step 3: Cross multiply
   190,188x = 296,196 × 296,196
4. Step 4: Simplify right side
   190,188x = 87,732,070,416
5. Step 5: Solve for x
   x = 87,732,070,416/190,188
6. Step 6: Final answer
   x = 461,291.30