Finding the Third Proportional to 84,547.50 and 196,584

Step by Step Solution

1. Step 1: Write the proportion equation
   84,547.50 : 196,584 = 196,584 : x
2. Step 2: Convert to fraction form
   84,547.50/196,584 = 196,584/x
3. Step 3: Cross multiply
   84,547.50x = 196,584 × 196,584
4. Step 4: Simplify right side
   84,547.50x = 38,645,269,056
5. Step 5: Solve for x
   x = 38,645,269,056/84,547.50
6. Step 6: Final answer
   x = 457,083.52