Finding the Third Proportional to 78,321 and 126,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,321 : 126,109.50 = 126,109.50 : x
2. Step 2: Convert to fraction form
   78,321/126,109.50 = 126,109.50/x
3. Step 3: Cross multiply
   78,321x = 126,109.50 × 126,109.50
4. Step 4: Simplify right side
   78,321x = 15,903,605,990.25
5. Step 5: Solve for x
   x = 15,903,605,990.25/78,321
6. Step 6: Final answer
   x = 203,056.73