Finding the Third Proportional to 114,038.50 and 164,269

Step by Step Solution

1. Step 1: Write the proportion equation
   114,038.50 : 164,269 = 164,269 : x
2. Step 2: Convert to fraction form
   114,038.50/164,269 = 164,269/x
3. Step 3: Cross multiply
   114,038.50x = 164,269 × 164,269
4. Step 4: Simplify right side
   114,038.50x = 26,984,304,361
5. Step 5: Solve for x
   x = 26,984,304,361/114,038.50
6. Step 6: Final answer
   x = 236,624.51