Finding the Third Proportional to 64,208 and 85,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,208 : 85,219.50 = 85,219.50 : x
2. Step 2: Convert to fraction form
   64,208/85,219.50 = 85,219.50/x
3. Step 3: Cross multiply
   64,208x = 85,219.50 × 85,219.50
4. Step 4: Simplify right side
   64,208x = 7,262,363,180.25
5. Step 5: Solve for x
   x = 7,262,363,180.25/64,208
6. Step 6: Final answer
   x = 113,106.83