Finding the Third Proportional to 147,166 and 233,186

Step by Step Solution

1. Step 1: Write the proportion equation
   147,166 : 233,186 = 233,186 : x
2. Step 2: Convert to fraction form
   147,166/233,186 = 233,186/x
3. Step 3: Cross multiply
   147,166x = 233,186 × 233,186
4. Step 4: Simplify right side
   147,166x = 54,375,710,596
5. Step 5: Solve for x
   x = 54,375,710,596/147,166
6. Step 6: Final answer
   x = 369,485.55