Finding the Third Proportional to 52,594 and 114,825

Step by Step Solution

1. Step 1: Write the proportion equation
   52,594 : 114,825 = 114,825 : x
2. Step 2: Convert to fraction form
   52,594/114,825 = 114,825/x
3. Step 3: Cross multiply
   52,594x = 114,825 × 114,825
4. Step 4: Simplify right side
   52,594x = 13,184,780,625
5. Step 5: Solve for x
   x = 13,184,780,625/52,594
6. Step 6: Final answer
   x = 250,689.82