Finding the Third Proportional to 74,488 and 152,924

Step by Step Solution

1. Step 1: Write the proportion equation
   74,488 : 152,924 = 152,924 : x
2. Step 2: Convert to fraction form
   74,488/152,924 = 152,924/x
3. Step 3: Cross multiply
   74,488x = 152,924 × 152,924
4. Step 4: Simplify right side
   74,488x = 23,385,749,776
5. Step 5: Solve for x
   x = 23,385,749,776/74,488
6. Step 6: Final answer
   x = 313,953.25