Finding the Third Proportional to 98,491.50 and 214,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,491.50 : 214,807.50 = 214,807.50 : x
2. Step 2: Convert to fraction form
   98,491.50/214,807.50 = 214,807.50/x
3. Step 3: Cross multiply
   98,491.50x = 214,807.50 × 214,807.50
4. Step 4: Simplify right side
   98,491.50x = 46,142,262,056.25
5. Step 5: Solve for x
   x = 46,142,262,056.25/98,491.50
6. Step 6: Final answer
   x = 468,489.79