Finding the Third Proportional to 116,853 and 260,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,853 : 260,758.50 = 260,758.50 : x
2. Step 2: Convert to fraction form
   116,853/260,758.50 = 260,758.50/x
3. Step 3: Cross multiply
   116,853x = 260,758.50 × 260,758.50
4. Step 4: Simplify right side
   116,853x = 67,994,995,322.25
5. Step 5: Solve for x
   x = 67,994,995,322.25/116,853
6. Step 6: Final answer
   x = 581,884.89