Finding the Third Proportional to 125,146.75 and 259,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,146.75 : 259,164.50 = 259,164.50 : x
2. Step 2: Convert to fraction form
   125,146.75/259,164.50 = 259,164.50/x
3. Step 3: Cross multiply
   125,146.75x = 259,164.50 × 259,164.50
4. Step 4: Simplify right side
   125,146.75x = 67,166,238,060.25
5. Step 5: Solve for x
   x = 67,166,238,060.25/125,146.75
6. Step 6: Final answer
   x = 536,699.82