Finding the Third Proportional to 38,478 and 91,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,478 : 91,699.50 = 91,699.50 : x
2. Step 2: Convert to fraction form
   38,478/91,699.50 = 91,699.50/x
3. Step 3: Cross multiply
   38,478x = 91,699.50 × 91,699.50
4. Step 4: Simplify right side
   38,478x = 8,408,798,300.25
5. Step 5: Solve for x
   x = 8,408,798,300.25/38,478
6. Step 6: Final answer
   x = 218,535.22