Finding the Third Proportional to 38,616 and 90,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,616 : 90,218.50 = 90,218.50 : x
2. Step 2: Convert to fraction form
   38,616/90,218.50 = 90,218.50/x
3. Step 3: Cross multiply
   38,616x = 90,218.50 × 90,218.50
4. Step 4: Simplify right side
   38,616x = 8,139,377,742.25
5. Step 5: Solve for x
   x = 8,139,377,742.25/38,616
6. Step 6: Final answer
   x = 210,777.34