Finding the Third Proportional to 253,825 and 380,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,825 : 380,787.50 = 380,787.50 : x
2. Step 2: Convert to fraction form
   253,825/380,787.50 = 380,787.50/x
3. Step 3: Cross multiply
   253,825x = 380,787.50 × 380,787.50
4. Step 4: Simplify right side
   253,825x = 144,999,120,156.25
5. Step 5: Solve for x
   x = 144,999,120,156.25/253,825
6. Step 6: Final answer
   x = 571,256.26