Finding the Third Proportional to 116,601.50 and 257,705

Step by Step Solution

1. Step 1: Write the proportion equation
   116,601.50 : 257,705 = 257,705 : x
2. Step 2: Convert to fraction form
   116,601.50/257,705 = 257,705/x
3. Step 3: Cross multiply
   116,601.50x = 257,705 × 257,705
4. Step 4: Simplify right side
   116,601.50x = 66,411,867,025
5. Step 5: Solve for x
   x = 66,411,867,025/116,601.50
6. Step 6: Final answer
   x = 569,562.72