Finding the Third Proportional to 45,684 and 99,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,684 : 99,670.50 = 99,670.50 : x
2. Step 2: Convert to fraction form
   45,684/99,670.50 = 99,670.50/x
3. Step 3: Cross multiply
   45,684x = 99,670.50 × 99,670.50
4. Step 4: Simplify right side
   45,684x = 9,934,208,570.25
5. Step 5: Solve for x
   x = 9,934,208,570.25/45,684
6. Step 6: Final answer
   x = 217,454.88