Finding the Third Proportional to 58,493.25 and 126,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,493.25 : 126,706.50 = 126,706.50 : x
2. Step 2: Convert to fraction form
   58,493.25/126,706.50 = 126,706.50/x
3. Step 3: Cross multiply
   58,493.25x = 126,706.50 × 126,706.50
4. Step 4: Simplify right side
   58,493.25x = 16,054,537,142.25
5. Step 5: Solve for x
   x = 16,054,537,142.25/58,493.25
6. Step 6: Final answer
   x = 274,468.20