Finding the Third Proportional to 125,124 and 260,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,124 : 260,602.50 = 260,602.50 : x
2. Step 2: Convert to fraction form
   125,124/260,602.50 = 260,602.50/x
3. Step 3: Cross multiply
   125,124x = 260,602.50 × 260,602.50
4. Step 4: Simplify right side
   125,124x = 67,913,663,006.25
5. Step 5: Solve for x
   x = 67,913,663,006.25/125,124
6. Step 6: Final answer
   x = 542,770.88