Finding the Third Proportional to 99,213 and 213,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,213 : 213,976.50 = 213,976.50 : x
2. Step 2: Convert to fraction form
   99,213/213,976.50 = 213,976.50/x
3. Step 3: Cross multiply
   99,213x = 213,976.50 × 213,976.50
4. Step 4: Simplify right side
   99,213x = 45,785,942,552.25
5. Step 5: Solve for x
   x = 45,785,942,552.25/99,213
6. Step 6: Final answer
   x = 461,491.36