Finding the Third Proportional to 209,612.81 and 296,315.72

Step by Step Solution

1. Step 1: Write the proportion equation
   209,612.81 : 296,315.72 = 296,315.72 : x
2. Step 2: Convert to fraction form
   209,612.81/296,315.72 = 296,315.72/x
3. Step 3: Cross multiply
   209,612.81x = 296,315.72 × 296,315.72
4. Step 4: Simplify right side
   209,612.81x = 87,803,005,178.33
5. Step 5: Solve for x
   x = 87,803,005,178.33/209,612.81
6. Step 6: Final answer
   x = 418,881.86