Finding the Third Proportional to 125,154 and 260,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,154 : 260,662.50 = 260,662.50 : x
2. Step 2: Convert to fraction form
   125,154/260,662.50 = 260,662.50/x
3. Step 3: Cross multiply
   125,154x = 260,662.50 × 260,662.50
4. Step 4: Simplify right side
   125,154x = 67,944,938,906.25
5. Step 5: Solve for x
   x = 67,944,938,906.25/125,154
6. Step 6: Final answer
   x = 542,890.67