Finding the Third Proportional to 149,971.50 and 210,924

Step by Step Solution

1. Step 1: Write the proportion equation
   149,971.50 : 210,924 = 210,924 : x
2. Step 2: Convert to fraction form
   149,971.50/210,924 = 210,924/x
3. Step 3: Cross multiply
   149,971.50x = 210,924 × 210,924
4. Step 4: Simplify right side
   149,971.50x = 44,488,933,776
5. Step 5: Solve for x
   x = 44,488,933,776/149,971.50
6. Step 6: Final answer
   x = 296,649.26