Finding the Third Proportional to 114,468 and 152,838

Step by Step Solution

1. Step 1: Write the proportion equation
   114,468 : 152,838 = 152,838 : x
2. Step 2: Convert to fraction form
   114,468/152,838 = 152,838/x
3. Step 3: Cross multiply
   114,468x = 152,838 × 152,838
4. Step 4: Simplify right side
   114,468x = 23,359,454,244
5. Step 5: Solve for x
   x = 23,359,454,244/114,468
6. Step 6: Final answer
   x = 204,069.73