Finding the Third Proportional to 105,926 and 219,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,926 : 219,184.50 = 219,184.50 : x
2. Step 2: Convert to fraction form
   105,926/219,184.50 = 219,184.50/x
3. Step 3: Cross multiply
   105,926x = 219,184.50 × 219,184.50
4. Step 4: Simplify right side
   105,926x = 48,041,845,040.25
5. Step 5: Solve for x
   x = 48,041,845,040.25/105,926
6. Step 6: Final answer
   x = 453,541.58