Finding the Third Proportional to 49,480 and 103,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,480 : 103,820.50 = 103,820.50 : x
2. Step 2: Convert to fraction form
   49,480/103,820.50 = 103,820.50/x
3. Step 3: Cross multiply
   49,480x = 103,820.50 × 103,820.50
4. Step 4: Simplify right side
   49,480x = 10,778,696,220.25
5. Step 5: Solve for x
   x = 10,778,696,220.25/49,480
6. Step 6: Final answer
   x = 217,839.45