Finding the Third Proportional to 123,645 and 253,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,645 : 253,162.50 = 253,162.50 : x
2. Step 2: Convert to fraction form
   123,645/253,162.50 = 253,162.50/x
3. Step 3: Cross multiply
   123,645x = 253,162.50 × 253,162.50
4. Step 4: Simplify right side
   123,645x = 64,091,251,406.25
5. Step 5: Solve for x
   x = 64,091,251,406.25/123,645
6. Step 6: Final answer
   x = 518,348.91