Finding the Third Proportional to 206,520 and 424,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,520 : 424,156.50 = 424,156.50 : x
2. Step 2: Convert to fraction form
   206,520/424,156.50 = 424,156.50/x
3. Step 3: Cross multiply
   206,520x = 424,156.50 × 424,156.50
4. Step 4: Simplify right side
   206,520x = 179,908,736,492.25
5. Step 5: Solve for x
   x = 179,908,736,492.25/206,520
6. Step 6: Final answer
   x = 871,144.38