Finding the Third Proportional to 96,272 and 214,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,272 : 214,680.50 = 214,680.50 : x
2. Step 2: Convert to fraction form
   96,272/214,680.50 = 214,680.50/x
3. Step 3: Cross multiply
   96,272x = 214,680.50 × 214,680.50
4. Step 4: Simplify right side
   96,272x = 46,087,717,080.25
5. Step 5: Solve for x
   x = 46,087,717,080.25/96,272
6. Step 6: Final answer
   x = 478,724.00