Finding the Third Proportional to 46,382 and 99,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,382 : 99,322.50 = 99,322.50 : x
2. Step 2: Convert to fraction form
   46,382/99,322.50 = 99,322.50/x
3. Step 3: Cross multiply
   46,382x = 99,322.50 × 99,322.50
4. Step 4: Simplify right side
   46,382x = 9,864,959,006.25
5. Step 5: Solve for x
   x = 9,864,959,006.25/46,382
6. Step 6: Final answer
   x = 212,689.38