Finding the Third Proportional to 186,922.50 and 253,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,922.50 : 253,456.50 = 253,456.50 : x
2. Step 2: Convert to fraction form
   186,922.50/253,456.50 = 253,456.50/x
3. Step 3: Cross multiply
   186,922.50x = 253,456.50 × 253,456.50
4. Step 4: Simplify right side
   186,922.50x = 64,240,197,392.25
5. Step 5: Solve for x
   x = 64,240,197,392.25/186,922.50
6. Step 6: Final answer
   x = 343,672.90