Finding the Third Proportional to 53,025 and 112,185

Step by Step Solution

1. Step 1: Write the proportion equation
   53,025 : 112,185 = 112,185 : x
2. Step 2: Convert to fraction form
   53,025/112,185 = 112,185/x
3. Step 3: Cross multiply
   53,025x = 112,185 × 112,185
4. Step 4: Simplify right side
   53,025x = 12,585,474,225
5. Step 5: Solve for x
   x = 12,585,474,225/53,025
6. Step 6: Final answer
   x = 237,349.82