Finding the Third Proportional to 123,802 and 191,382

Step by Step Solution

1. Step 1: Write the proportion equation
   123,802 : 191,382 = 191,382 : x
2. Step 2: Convert to fraction form
   123,802/191,382 = 191,382/x
3. Step 3: Cross multiply
   123,802x = 191,382 × 191,382
4. Step 4: Simplify right side
   123,802x = 36,627,069,924
5. Step 5: Solve for x
   x = 36,627,069,924/123,802
6. Step 6: Final answer
   x = 295,852.01