Finding the Third Proportional to 58,698 and 126,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,698 : 126,967.50 = 126,967.50 : x
2. Step 2: Convert to fraction form
   58,698/126,967.50 = 126,967.50/x
3. Step 3: Cross multiply
   58,698x = 126,967.50 × 126,967.50
4. Step 4: Simplify right side
   58,698x = 16,120,746,056.25
5. Step 5: Solve for x
   x = 16,120,746,056.25/58,698
6. Step 6: Final answer
   x = 274,638.76