Finding the Third Proportional to 152,912 and 206,520

Step by Step Solution

1. Step 1: Write the proportion equation
   152,912 : 206,520 = 206,520 : x
2. Step 2: Convert to fraction form
   152,912/206,520 = 206,520/x
3. Step 3: Cross multiply
   152,912x = 206,520 × 206,520
4. Step 4: Simplify right side
   152,912x = 42,650,510,400
5. Step 5: Solve for x
   x = 42,650,510,400/152,912
6. Step 6: Final answer
   x = 278,921.93