Finding the Third Proportional to 180,909 and 265,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,909 : 265,937.50 = 265,937.50 : x
2. Step 2: Convert to fraction form
   180,909/265,937.50 = 265,937.50/x
3. Step 3: Cross multiply
   180,909x = 265,937.50 × 265,937.50
4. Step 4: Simplify right side
   180,909x = 70,722,753,906.25
5. Step 5: Solve for x
   x = 70,722,753,906.25/180,909
6. Step 6: Final answer
   x = 390,929.99