Finding the Third Proportional to 52,598 and 113,215

Step by Step Solution

1. Step 1: Write the proportion equation
   52,598 : 113,215 = 113,215 : x
2. Step 2: Convert to fraction form
   52,598/113,215 = 113,215/x
3. Step 3: Cross multiply
   52,598x = 113,215 × 113,215
4. Step 4: Simplify right side
   52,598x = 12,817,636,225
5. Step 5: Solve for x
   x = 12,817,636,225/52,598
6. Step 6: Final answer
   x = 243,690.56