Finding the Third Proportional to 124,911 and 180,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,911 : 180,562.50 = 180,562.50 : x
2. Step 2: Convert to fraction form
   124,911/180,562.50 = 180,562.50/x
3. Step 3: Cross multiply
   124,911x = 180,562.50 × 180,562.50
4. Step 4: Simplify right side
   124,911x = 32,602,816,406.25
5. Step 5: Solve for x
   x = 32,602,816,406.25/124,911
6. Step 6: Final answer
   x = 261,008.37