Finding the Third Proportional to 93,976 and 195,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,976 : 195,727.50 = 195,727.50 : x
2. Step 2: Convert to fraction form
   93,976/195,727.50 = 195,727.50/x
3. Step 3: Cross multiply
   93,976x = 195,727.50 × 195,727.50
4. Step 4: Simplify right side
   93,976x = 38,309,254,256.25
5. Step 5: Solve for x
   x = 38,309,254,256.25/93,976
6. Step 6: Final answer
   x = 407,649.34