Finding the Third Proportional to 45,834 and 96,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,834 : 96,280.50 = 96,280.50 : x
2. Step 2: Convert to fraction form
   45,834/96,280.50 = 96,280.50/x
3. Step 3: Cross multiply
   45,834x = 96,280.50 × 96,280.50
4. Step 4: Simplify right side
   45,834x = 9,269,934,680.25
5. Step 5: Solve for x
   x = 9,269,934,680.25/45,834
6. Step 6: Final answer
   x = 202,250.18