Finding the Third Proportional to 147,188 and 233,184

Step by Step Solution

1. Step 1: Write the proportion equation
   147,188 : 233,184 = 233,184 : x
2. Step 2: Convert to fraction form
   147,188/233,184 = 233,184/x
3. Step 3: Cross multiply
   147,188x = 233,184 × 233,184
4. Step 4: Simplify right side
   147,188x = 54,374,777,856
5. Step 5: Solve for x
   x = 54,374,777,856/147,188
6. Step 6: Final answer
   x = 369,423.99