Finding the Third Proportional to 116,601 and 257,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,601 : 257,704.50 = 257,704.50 : x
2. Step 2: Convert to fraction form
   116,601/257,704.50 = 257,704.50/x
3. Step 3: Cross multiply
   116,601x = 257,704.50 × 257,704.50
4. Step 4: Simplify right side
   116,601x = 66,411,609,320.25
5. Step 5: Solve for x
   x = 66,411,609,320.25/116,601
6. Step 6: Final answer
   x = 569,562.95