Finding the Third Proportional to 57,924 and 126,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,924 : 126,922.50 = 126,922.50 : x
2. Step 2: Convert to fraction form
   57,924/126,922.50 = 126,922.50/x
3. Step 3: Cross multiply
   57,924x = 126,922.50 × 126,922.50
4. Step 4: Simplify right side
   57,924x = 16,109,321,006.25
5. Step 5: Solve for x
   x = 16,109,321,006.25/57,924
6. Step 6: Final answer
   x = 278,111.34