Finding the Third Proportional to 191,120 and 296,536

Step by Step Solution

1. Step 1: Write the proportion equation
   191,120 : 296,536 = 296,536 : x
2. Step 2: Convert to fraction form
   191,120/296,536 = 296,536/x
3. Step 3: Cross multiply
   191,120x = 296,536 × 296,536
4. Step 4: Simplify right side
   191,120x = 87,933,599,296
5. Step 5: Solve for x
   x = 87,933,599,296/191,120
6. Step 6: Final answer
   x = 460,096.27