Finding the Third Proportional to 48,306 and 99,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,306 : 99,730.50 = 99,730.50 : x
2. Step 2: Convert to fraction form
   48,306/99,730.50 = 99,730.50/x
3. Step 3: Cross multiply
   48,306x = 99,730.50 × 99,730.50
4. Step 4: Simplify right side
   48,306x = 9,946,172,630.25
5. Step 5: Solve for x
   x = 9,946,172,630.25/48,306
6. Step 6: Final answer
   x = 205,899.32