Finding the Third Proportional to 117,787.50 and 261,711

Step by Step Solution

1. Step 1: Write the proportion equation
   117,787.50 : 261,711 = 261,711 : x
2. Step 2: Convert to fraction form
   117,787.50/261,711 = 261,711/x
3. Step 3: Cross multiply
   117,787.50x = 261,711 × 261,711
4. Step 4: Simplify right side
   117,787.50x = 68,492,647,521
5. Step 5: Solve for x
   x = 68,492,647,521/117,787.50
6. Step 6: Final answer
   x = 581,493.35