Finding the Third Proportional to 123,924 and 191,484

Step by Step Solution

1. Step 1: Write the proportion equation
   123,924 : 191,484 = 191,484 : x
2. Step 2: Convert to fraction form
   123,924/191,484 = 191,484/x
3. Step 3: Cross multiply
   123,924x = 191,484 × 191,484
4. Step 4: Simplify right side
   123,924x = 36,666,122,256
5. Step 5: Solve for x
   x = 36,666,122,256/123,924
6. Step 6: Final answer
   x = 295,875.88